The document discusses how the revised Bloom's Taxonomy (RBT) promotes meaningful learning beyond just knowledge acquisition. RBT includes six cognitive process categories that move from retention to transfer of knowledge: Remember, Understand, Apply, Analyze, Evaluate, and Create. These categories represent a fuller range of cognitive processes compared to just focusing on memorization. The goal of education should be both retention of material as well as transfer of knowledge to new situations. RBT helps teachers foster learning objectives and assessments that promote both retention and transfer.
Evaluating instructional designs with mental workload assessments in universi...Peter Manifold
This document discusses evaluating instructional designs using mental workload assessments. It summarizes three key points:
1. Cognitive Load Theory (CLT) aims to improve instructional design but lacks clear definitions and methods to measure cognitive load types. Mental Workload (MWL) from ergonomics provides robust constructs and measurement techniques for assessing overall cognitive load.
2. The study aims to evaluate two instructional conditions - traditional teaching and multimedia videos following Cognitive Theory of Multimedia Learning principles - by measuring mental workload using the NASA Task Load Index, Workload Profile, and Rating Scale Mental Effort.
3. Preliminary results suggest the selected mental workload measures are reliable and valid based on ergonomics research. The
1. The document describes research using perceptual learning modules (PLMs) to address persistent difficulties in mathematics learning related to pattern recognition, structural intuition, and fluency.
2. Three experiments tested PLMs focusing on structure extraction and fluency for algebra and fractions. Students using PLMs showed significant and persisting learning gains compared to traditional instruction.
3. PLMs engage students in rapid classification trials using systematic variations of mathematical structures and representations to help students learn to automatically extract relevant patterns and relationships like experts.
A Term Paper for the Course of Theories and Approaches in Language Teaching(...DawitDibekulu
at the end of this presentation you will be able to:
Identify and know the concept of:
Theory and Hypothesis
Approach, Method and Techniques
Skill, Competence and Performance
Know the relation between them
Identify their difference
Know their benefit for ELT
The document provides an introduction to the Common Core Georgia Performance Standards for Mathematics. It discusses the focus of the Georgia mathematics curriculum on developing conceptual understanding through problem solving, representation, reasoning and communication. It emphasizes applying math concepts in authentic contexts. The standards are designed to increase coherence and focus from grade to grade to improve math achievement. They define what students should understand and be able to do at each grade level.
Instructional objectives are specific statements that describe the expected learner behaviors or outcomes after completing instruction. They guide both teaching and learning by communicating the intended goals and providing assessment guidelines. Objectives should be stated in terms of observable learner performance rather than content, process, or teacher actions. Common frameworks for writing objectives include Bloom's Taxonomy, which categorizes objectives according to cognitive, affective, and psychomotor domains, and methods developed by Mager and Gronlund that specify the expected performance, conditions, and standards of the objective.
Proving a proposition is emphasized in undergraduate mathematics learning. There are three strategies in proving or proof-production, i.e.: proceduralproof, syntactic-proof, and semantic-proof production. Students‟ difficulties in proving can occur in constructing a proof. In this article, we focused on students‟ thinking when proving using semantic-proof production. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using thinkaloud and then following by interview based task. Results show that characterization of students‟ thinking using semantic-proof production can be classified into three categories, i.e.: (1) false-semantic, (2) proof-semantic for clarification of proposition, (3) proof-semantic for remembering concept. Both category (1) and (2) occurred before students proven formally in Representation System Proof (RSP). Nevertheless, category (3) occurred when students have proven the task in RSP then step out from RSP while proving. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.
Technological persuasive pedagogy a new way to persuade students in the compu...Alexander Decker
This document introduces a new pedagogical approach called "technological persuasive pedagogy" to more effectively persuade students in computer-based mathematics learning. It discusses prior models and theories of persuasion and identifies 16 principles that can be used to 1) improve negative attitudes, 2) increase positive attitudes, or 3) prevent declines in positive attitudes. The document outlines the content analysis method used to extract these principles from literature on persuasion in education. It describes coding and reliability testing of the principles to develop a codebook for applying them in computer-based mathematics classrooms.
This document discusses the development and testing of an algo-heuristic model to improve statistics learning among elementary school teacher education students. It involved three phases: 1) expert evaluation of the model, 2) testing with lecturers, and 3) pre-experimental testing with students. Test results found a significant increase in student test scores after using the model, indicating it can effectively improve statistics learning. The document also reviews various literature on algo-heuristic learning theories and algorithms.
Evaluating instructional designs with mental workload assessments in universi...Peter Manifold
This document discusses evaluating instructional designs using mental workload assessments. It summarizes three key points:
1. Cognitive Load Theory (CLT) aims to improve instructional design but lacks clear definitions and methods to measure cognitive load types. Mental Workload (MWL) from ergonomics provides robust constructs and measurement techniques for assessing overall cognitive load.
2. The study aims to evaluate two instructional conditions - traditional teaching and multimedia videos following Cognitive Theory of Multimedia Learning principles - by measuring mental workload using the NASA Task Load Index, Workload Profile, and Rating Scale Mental Effort.
3. Preliminary results suggest the selected mental workload measures are reliable and valid based on ergonomics research. The
1. The document describes research using perceptual learning modules (PLMs) to address persistent difficulties in mathematics learning related to pattern recognition, structural intuition, and fluency.
2. Three experiments tested PLMs focusing on structure extraction and fluency for algebra and fractions. Students using PLMs showed significant and persisting learning gains compared to traditional instruction.
3. PLMs engage students in rapid classification trials using systematic variations of mathematical structures and representations to help students learn to automatically extract relevant patterns and relationships like experts.
A Term Paper for the Course of Theories and Approaches in Language Teaching(...DawitDibekulu
at the end of this presentation you will be able to:
Identify and know the concept of:
Theory and Hypothesis
Approach, Method and Techniques
Skill, Competence and Performance
Know the relation between them
Identify their difference
Know their benefit for ELT
The document provides an introduction to the Common Core Georgia Performance Standards for Mathematics. It discusses the focus of the Georgia mathematics curriculum on developing conceptual understanding through problem solving, representation, reasoning and communication. It emphasizes applying math concepts in authentic contexts. The standards are designed to increase coherence and focus from grade to grade to improve math achievement. They define what students should understand and be able to do at each grade level.
Instructional objectives are specific statements that describe the expected learner behaviors or outcomes after completing instruction. They guide both teaching and learning by communicating the intended goals and providing assessment guidelines. Objectives should be stated in terms of observable learner performance rather than content, process, or teacher actions. Common frameworks for writing objectives include Bloom's Taxonomy, which categorizes objectives according to cognitive, affective, and psychomotor domains, and methods developed by Mager and Gronlund that specify the expected performance, conditions, and standards of the objective.
Proving a proposition is emphasized in undergraduate mathematics learning. There are three strategies in proving or proof-production, i.e.: proceduralproof, syntactic-proof, and semantic-proof production. Students‟ difficulties in proving can occur in constructing a proof. In this article, we focused on students‟ thinking when proving using semantic-proof production. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using thinkaloud and then following by interview based task. Results show that characterization of students‟ thinking using semantic-proof production can be classified into three categories, i.e.: (1) false-semantic, (2) proof-semantic for clarification of proposition, (3) proof-semantic for remembering concept. Both category (1) and (2) occurred before students proven formally in Representation System Proof (RSP). Nevertheless, category (3) occurred when students have proven the task in RSP then step out from RSP while proving. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.
Technological persuasive pedagogy a new way to persuade students in the compu...Alexander Decker
This document introduces a new pedagogical approach called "technological persuasive pedagogy" to more effectively persuade students in computer-based mathematics learning. It discusses prior models and theories of persuasion and identifies 16 principles that can be used to 1) improve negative attitudes, 2) increase positive attitudes, or 3) prevent declines in positive attitudes. The document outlines the content analysis method used to extract these principles from literature on persuasion in education. It describes coding and reliability testing of the principles to develop a codebook for applying them in computer-based mathematics classrooms.
This document discusses the development and testing of an algo-heuristic model to improve statistics learning among elementary school teacher education students. It involved three phases: 1) expert evaluation of the model, 2) testing with lecturers, and 3) pre-experimental testing with students. Test results found a significant increase in student test scores after using the model, indicating it can effectively improve statistics learning. The document also reviews various literature on algo-heuristic learning theories and algorithms.
CLASSIFICATION OF QUESTIONS AND LEARNING OUTCOME STATEMENTS (LOS) INTO BLOOM’...IJMIT JOURNAL
Bloom’s Taxonomy (BT) have been used to classify the objectives of learning outcome by dividing the learning into three different domains; the cognitive domain, the effective domain and the psychomotor domain. In this paper, we are introducing a new approach to classify the questions and learning outcome
statements (LOS) into Blooms taxonomy (BT) and to verify BT verb lists, which are being cited and used by academicians to write questions and (LOS). An experiment was designed to investigate the semantic relationship between the action verbs used in both questions and LOS to obtain more accurate
classification of the levels of BT. A sample of 775 different action verbs collected from different universities allows us to measure an accurate and clear-cut cognitive level for the action verb. It is worth mentioning that natural language processing techniques were used to develop our rules as to induce the questions into
chunks in order to extract the action verbs. Our proposed solution was able to classify the action verb into a precise level of the cognitive domain. We, on our side, have tested and evaluated our proposed solution using confusion matrix. The results of evaluation tests yielded 97% for the macro average of precision and 90% for F1. Thus, the outcome of the research suggests that it is crucial to analyse and verify the action
verbs cited and used by academicians to write LOS and classify their questions based on blooms taxonomy in order to obtain a definite and more accurate classification.
CLASSIFICATION OF QUESTIONS AND LEARNING OUTCOME STATEMENTS (LOS) INTO BLOOM’...IJMIT JOURNAL
Bloom’s Taxonomy (BT) have been used to classify the objectives of learning outcome by dividing the
learning into three different domains; the cognitive domain, the effective domain and the psychomotor
domain. In this paper, we are introducing a new approach to classify the questions and learning outcome
statements (LOS) into Blooms taxonomy (BT) and to verify BT verb lists, which are being cited and used by
academicians to write questions and (LOS). An experiment was designed to investigate the semantic
relationship between the action verbs used in both questions and LOS to obtain more accurate
classification of the levels of BT. A sample of 775 different action verbs collected from different universities
allows us to measure an accurate and clear-cut cognitive level for the action verb. It is worth mentioning
that natural language processing techniques were used to develop our rules as to induce the questions into
chunks in order to extract the action verbs. Our proposed solution was able to classify the action verb into
a precise level of the cognitive domain. We, on our side, have tested and evaluated our proposed solution
using confusion matrix. The results of evaluation tests yielded 97% for the macro average of precision and
90% for F1. Thus, the outcome of the research suggests that it is crucial to analyse and verify the action
verbs cited and used by academicians to write LOS and classify their questions based on blooms taxonomy
in order to obtain a definite and more accurate classification.
This document discusses the relationship between conceptual knowledge and procedural knowledge in mathematics learning. It reviews literature that has treated these types of knowledge differently, assessing concepts through verbal tasks and procedures through demonstration. This has limited the development of a coherent theory on their relationship. The document suggests distinguishing between knowledge type (conceptual vs procedural) and depth of knowledge to provide a more nuanced understanding. Deeper examination of procedural knowledge, in particular, could help develop better learning theories.
The document provides an overview of data analysis concepts and methods for qualitative and quantitative data. It discusses topics such as descriptive statistics, measures of central tendency and spread. It also covers inferential statistics concepts like ANOVA, ANCOVA, regression, and correlation. Both the advantages and disadvantages of qualitative data analysis are presented. The document is a presentation on research methodology focusing on data analysis.
The document provides an introduction and overview of the Common Core State Standards for Mathematics. It discusses the need for mathematics standards and curriculum in the US to become more focused and coherent in order to improve student achievement. The introduction emphasizes concentrating early mathematics learning on number, measurement, and geometry and developing conceptual understanding of key ideas. It also outlines how the standards are organized and are intended to define what students should understand and be able to do in their mathematics education.
This professional development guide focuses on ratio, proportion, and proportional reasoning. The guide contains 3 sessions that examine key concepts like additive versus multiplicative thinking, ratios as fractions and proportions, and rates. The goal is to help teachers strengthen their own conceptual understanding and examine student thinking. Session 1 introduces ratios and different types of reasoning. Participants will consider how ratios involve coordinating quantities and can be viewed as multiplicative comparisons or composed units. A task is also used to reveal potential student misconceptions.
This document provides guidance for teachers on effective instructional practices for teaching mathematics to students with learning disabilities or difficulties learning mathematics. It identifies seven effective practices supported by research: 1) using explicit instruction regularly, 2) teaching with multiple instructional examples, 3) having students verbalize decisions and solutions, 4) teaching step-by-step problem solving strategies, 5) using visual representations, 6) providing students with opportunities for guided practice, and 7) conducting frequent reviews of content. The document summarizes evidence from a meta-analysis and the National Mathematics Advisory Panel report supporting the use of these practices.
This document presents a portfolio from Dr. James Cunha Werner demonstrating his qualifications for a certificate in learning and teaching. It summarizes his experiences teaching C programming laboratories at the University of Manchester and Imperial College. The document outlines Werner's approach to designing learning activities, which involves understanding learning theories and the requirements students will face. It also describes how he carried out support for learning through constructive feedback and assessment. Diagrams and examples are provided as evidence of Werner's abilities in areas like lesson planning, student support, reflection, and using strategies like mind maps to enhance teaching.
This study tested the effectiveness of algo-heuristic models in improving elementary school teacher education students' academic achievement in statistics. It involved 3 phases: 1) small group testing by instructional design and statistical learning experts, 2) large group testing by course lecturers, and 3) testing the effectiveness on students. The evaluation consisted of expert testing the theoretical quality, testing with a small group of lecturers, and large group pre-experimental testing to determine the effectiveness of the algo-heuristic model in improving student learning. The results showed a statistically significant increase in post-test scores compared to pre-test, indicating the algo-heuristic learning was effective in improving student learning of statistics.
This document analyzes a single student learning episode using two theoretical lenses: the instrumental genesis perspective and the onto-semiotic approach. The instrumental genesis perspective focuses on how students develop techniques for using tools or artifacts to solve mathematical tasks, and the relationships between thinking and gestures. The onto-semiotic approach views mathematical knowledge and learning as involving systems of practices within social and institutional contexts. Analyzing the same episode from both perspectives provides complementary insights and a richer understanding of the phenomena, while also helping to identify the strengths and limitations of each theoretical approach. Networking the two theories in this way contributes to theoretical development in mathematics education.
The document discusses the relationship between the cognitive demand of math tasks and student achievement. It finds that maintaining high cognitive demand throughout the setup and implementation of math tasks is linked to higher achievement. When tasks involve memorization or procedures without meaning, learning gains are lower. However, tasks requiring procedures with understanding or doing mathematics fully lead to greater gains. The document recommends further research on how the cognitive demand of math instruction changes from K-12 and how teachers' perceptions of task demands may also change.
Modelling the relationship between mathematical reasoning ability and mathema...Alexander Decker
This document discusses a study that examined the relationship between mathematical reasoning ability and attainment in mathematics.
The study involved 240 students who completed tests of mathematical reasoning ability and attainment. Structural regression modeling showed that four measures of mathematical reasoning ability (class, variable, order, and classification) predicted success on a test of mathematics attainment.
The findings suggest that developing students' mathematical reasoning ability could help improve their attainment in mathematics. Teachers should implement intervention programs to strengthen students' ability to classify, recognize variables, identify orders, and make classifications, which may ultimately boost mathematics learning.
The document presents a revised taxonomy for learning objectives based on Bloom's Taxonomy. It describes two dimensions - the cognitive process dimension and knowledge dimension. The cognitive process dimension involves lower and higher order thinking skills. The knowledge dimension ranges from concrete to abstract knowledge. Together these dimensions provide a framework for classifying learning objectives according to the type of cognitive process and knowledge required. Tables further explain the categories within each dimension and provide examples of learning objectives.
This research study module published by NCETM was developed by Anne Watson based on the paper Growth Points in Understanding of Function published in Mathematics Education Research Journal.
The document describes the development of a construct map for teacher attentiveness based on responses to open-ended assessment items. It involved the following steps:
1. The researchers reviewed literature to identify potential levels of attentiveness and coded responses from teachers and teacher candidates to assessment items.
2. The coded responses were organized into qualitative categories that were hierarchically ordered to show increasing levels of attentiveness.
3. The ordered categories were organized into a construct map diagram to operationalize the attentiveness construct and show how it is measured by the assessment. The goal was to provide an example of developing a construct map for a complex teaching skill based on open-ended response data.
The document is the K to 12 Curriculum Guide for Mathematics from Kindergarten to Grade 10 in the Philippines. It outlines the conceptual framework, brief course description, learning area standards, key stage standards, grade level standards, and sample grade level content for Grade 1. The goals of mathematics education are developing critical thinking and problem solving skills. Key concepts include numbers, measurement, geometry, patterns and algebra, and probability and statistics. The curriculum is based on theories of experiential learning, constructivism, and inquiry-based learning.
Calais, Gerald j[1]. the multidimensional measure of conceptual complexity nf...William Kritsonis
The document describes a new instrument called the Multidimensional Measure of Conceptual Complexity (MMCC) that aims to assess students' conceptual understanding of chemical equilibrium. [1] The MMCC measures conceptual understanding across two dimensions - conceptual depth and conceptual breadth. [2] Conceptual depth reflects hierarchical levels of understanding from acausal to emergent, while conceptual breadth reflects the range of phenomena a causal explanation can be applied to. [3] The MMCC aims to locate students within this two-dimensional space of conceptual complexity to provide meaningful measures of their understanding.
A Know-How vs. Know-What Approach in the Teaching-Learning.pdfAliZarif1
The document discusses approaches to teaching competences in physical chemistry. It proposes a multi-level problem-based learning approach to evaluate if a "know-how" or "know-what" perspective better enhances competence acquisition in students. Under this approach, problems are classified into three levels - (1) know-what (concepts), (2) know-why (competences), and (3) know-how (skills). A class would be divided into two groups, one using a bottom-up approach starting with know-what, and the other a top-down approach starting with know-how. Assessing the learning outcomes of both groups would determine the most suitable starting point for full competence mastery. The approach
1. The document describes research using perceptual learning modules (PLMs) to address persistent difficulties in mathematics learning related to pattern recognition, structural intuition, and fluency.
2. Three experiments tested PLMs focusing on structure extraction and fluency for algebra and fractions. Students using PLMs showed significant and persisting learning gains compared to traditional instruction.
3. PLMs engage students in rapid classification trials using systematic variations of mathematical structures and representations to help students learn to automatically extract relevant patterns and relationships like experts.
This document describes best practices in technical education used at Mount Zion College of Engineering & Technology. It discusses how the college uses Bloom's revised taxonomy as a framework to develop specific, measurable learning objectives aligned with cognitive levels and knowledge dimensions. Teachers create lesson plans and learning activities mapped to the taxonomy to systematically facilitate student learning. Assessment is also designed based on the taxonomy to evaluate if students achieved the objectives. The methods section provides an example mapping of an objective, activities, and assessment to the taxonomy table to illustrate how it ensures proper alignment of the educational components.
Blooms' Taxonomy for B.Ed TNTEU Notes for I.B.Ed StudentsSasikala Antony
The document discusses Benjamin Bloom's Taxonomy of Educational Objectives, which classifies learning objectives into three domains (cognitive, affective, psychomotor) and defines categories within each domain ranging from basic to more complex levels of learning. The cognitive domain includes knowledge, comprehension, application, analysis, synthesis, and evaluation. The affective domain includes receiving, responding, valuing, organizing, and characterizing. The psychomotor domain includes perception, set, guided response, mechanism, complex overt response, and adaptation. Bloom's Taxonomy provides a framework for designing instructional objectives and assessments across different types and depths of learning.
1) Research shows a mismatch between how physics is traditionally taught and how students learn. Instruction is usually deductive and focused on transmitting knowledge, while students learn best through active intellectual engagement.
2) Specific conceptual difficulties students have are resistant to traditional instruction, such as the belief that current is "used up" in a circuit. These must be explicitly addressed through multiple contexts.
3) Growth in scientific reasoning is not typically an outcome of traditional physics courses. Reasoning skills like applying concepts qualitatively and systematically must be expressly developed.
CLASSIFICATION OF QUESTIONS AND LEARNING OUTCOME STATEMENTS (LOS) INTO BLOOM’...IJMIT JOURNAL
Bloom’s Taxonomy (BT) have been used to classify the objectives of learning outcome by dividing the learning into three different domains; the cognitive domain, the effective domain and the psychomotor domain. In this paper, we are introducing a new approach to classify the questions and learning outcome
statements (LOS) into Blooms taxonomy (BT) and to verify BT verb lists, which are being cited and used by academicians to write questions and (LOS). An experiment was designed to investigate the semantic relationship between the action verbs used in both questions and LOS to obtain more accurate
classification of the levels of BT. A sample of 775 different action verbs collected from different universities allows us to measure an accurate and clear-cut cognitive level for the action verb. It is worth mentioning that natural language processing techniques were used to develop our rules as to induce the questions into
chunks in order to extract the action verbs. Our proposed solution was able to classify the action verb into a precise level of the cognitive domain. We, on our side, have tested and evaluated our proposed solution using confusion matrix. The results of evaluation tests yielded 97% for the macro average of precision and 90% for F1. Thus, the outcome of the research suggests that it is crucial to analyse and verify the action
verbs cited and used by academicians to write LOS and classify their questions based on blooms taxonomy in order to obtain a definite and more accurate classification.
CLASSIFICATION OF QUESTIONS AND LEARNING OUTCOME STATEMENTS (LOS) INTO BLOOM’...IJMIT JOURNAL
Bloom’s Taxonomy (BT) have been used to classify the objectives of learning outcome by dividing the
learning into three different domains; the cognitive domain, the effective domain and the psychomotor
domain. In this paper, we are introducing a new approach to classify the questions and learning outcome
statements (LOS) into Blooms taxonomy (BT) and to verify BT verb lists, which are being cited and used by
academicians to write questions and (LOS). An experiment was designed to investigate the semantic
relationship between the action verbs used in both questions and LOS to obtain more accurate
classification of the levels of BT. A sample of 775 different action verbs collected from different universities
allows us to measure an accurate and clear-cut cognitive level for the action verb. It is worth mentioning
that natural language processing techniques were used to develop our rules as to induce the questions into
chunks in order to extract the action verbs. Our proposed solution was able to classify the action verb into
a precise level of the cognitive domain. We, on our side, have tested and evaluated our proposed solution
using confusion matrix. The results of evaluation tests yielded 97% for the macro average of precision and
90% for F1. Thus, the outcome of the research suggests that it is crucial to analyse and verify the action
verbs cited and used by academicians to write LOS and classify their questions based on blooms taxonomy
in order to obtain a definite and more accurate classification.
This document discusses the relationship between conceptual knowledge and procedural knowledge in mathematics learning. It reviews literature that has treated these types of knowledge differently, assessing concepts through verbal tasks and procedures through demonstration. This has limited the development of a coherent theory on their relationship. The document suggests distinguishing between knowledge type (conceptual vs procedural) and depth of knowledge to provide a more nuanced understanding. Deeper examination of procedural knowledge, in particular, could help develop better learning theories.
The document provides an overview of data analysis concepts and methods for qualitative and quantitative data. It discusses topics such as descriptive statistics, measures of central tendency and spread. It also covers inferential statistics concepts like ANOVA, ANCOVA, regression, and correlation. Both the advantages and disadvantages of qualitative data analysis are presented. The document is a presentation on research methodology focusing on data analysis.
The document provides an introduction and overview of the Common Core State Standards for Mathematics. It discusses the need for mathematics standards and curriculum in the US to become more focused and coherent in order to improve student achievement. The introduction emphasizes concentrating early mathematics learning on number, measurement, and geometry and developing conceptual understanding of key ideas. It also outlines how the standards are organized and are intended to define what students should understand and be able to do in their mathematics education.
This professional development guide focuses on ratio, proportion, and proportional reasoning. The guide contains 3 sessions that examine key concepts like additive versus multiplicative thinking, ratios as fractions and proportions, and rates. The goal is to help teachers strengthen their own conceptual understanding and examine student thinking. Session 1 introduces ratios and different types of reasoning. Participants will consider how ratios involve coordinating quantities and can be viewed as multiplicative comparisons or composed units. A task is also used to reveal potential student misconceptions.
This document provides guidance for teachers on effective instructional practices for teaching mathematics to students with learning disabilities or difficulties learning mathematics. It identifies seven effective practices supported by research: 1) using explicit instruction regularly, 2) teaching with multiple instructional examples, 3) having students verbalize decisions and solutions, 4) teaching step-by-step problem solving strategies, 5) using visual representations, 6) providing students with opportunities for guided practice, and 7) conducting frequent reviews of content. The document summarizes evidence from a meta-analysis and the National Mathematics Advisory Panel report supporting the use of these practices.
This document presents a portfolio from Dr. James Cunha Werner demonstrating his qualifications for a certificate in learning and teaching. It summarizes his experiences teaching C programming laboratories at the University of Manchester and Imperial College. The document outlines Werner's approach to designing learning activities, which involves understanding learning theories and the requirements students will face. It also describes how he carried out support for learning through constructive feedback and assessment. Diagrams and examples are provided as evidence of Werner's abilities in areas like lesson planning, student support, reflection, and using strategies like mind maps to enhance teaching.
This study tested the effectiveness of algo-heuristic models in improving elementary school teacher education students' academic achievement in statistics. It involved 3 phases: 1) small group testing by instructional design and statistical learning experts, 2) large group testing by course lecturers, and 3) testing the effectiveness on students. The evaluation consisted of expert testing the theoretical quality, testing with a small group of lecturers, and large group pre-experimental testing to determine the effectiveness of the algo-heuristic model in improving student learning. The results showed a statistically significant increase in post-test scores compared to pre-test, indicating the algo-heuristic learning was effective in improving student learning of statistics.
This document analyzes a single student learning episode using two theoretical lenses: the instrumental genesis perspective and the onto-semiotic approach. The instrumental genesis perspective focuses on how students develop techniques for using tools or artifacts to solve mathematical tasks, and the relationships between thinking and gestures. The onto-semiotic approach views mathematical knowledge and learning as involving systems of practices within social and institutional contexts. Analyzing the same episode from both perspectives provides complementary insights and a richer understanding of the phenomena, while also helping to identify the strengths and limitations of each theoretical approach. Networking the two theories in this way contributes to theoretical development in mathematics education.
The document discusses the relationship between the cognitive demand of math tasks and student achievement. It finds that maintaining high cognitive demand throughout the setup and implementation of math tasks is linked to higher achievement. When tasks involve memorization or procedures without meaning, learning gains are lower. However, tasks requiring procedures with understanding or doing mathematics fully lead to greater gains. The document recommends further research on how the cognitive demand of math instruction changes from K-12 and how teachers' perceptions of task demands may also change.
Modelling the relationship between mathematical reasoning ability and mathema...Alexander Decker
This document discusses a study that examined the relationship between mathematical reasoning ability and attainment in mathematics.
The study involved 240 students who completed tests of mathematical reasoning ability and attainment. Structural regression modeling showed that four measures of mathematical reasoning ability (class, variable, order, and classification) predicted success on a test of mathematics attainment.
The findings suggest that developing students' mathematical reasoning ability could help improve their attainment in mathematics. Teachers should implement intervention programs to strengthen students' ability to classify, recognize variables, identify orders, and make classifications, which may ultimately boost mathematics learning.
The document presents a revised taxonomy for learning objectives based on Bloom's Taxonomy. It describes two dimensions - the cognitive process dimension and knowledge dimension. The cognitive process dimension involves lower and higher order thinking skills. The knowledge dimension ranges from concrete to abstract knowledge. Together these dimensions provide a framework for classifying learning objectives according to the type of cognitive process and knowledge required. Tables further explain the categories within each dimension and provide examples of learning objectives.
This research study module published by NCETM was developed by Anne Watson based on the paper Growth Points in Understanding of Function published in Mathematics Education Research Journal.
The document describes the development of a construct map for teacher attentiveness based on responses to open-ended assessment items. It involved the following steps:
1. The researchers reviewed literature to identify potential levels of attentiveness and coded responses from teachers and teacher candidates to assessment items.
2. The coded responses were organized into qualitative categories that were hierarchically ordered to show increasing levels of attentiveness.
3. The ordered categories were organized into a construct map diagram to operationalize the attentiveness construct and show how it is measured by the assessment. The goal was to provide an example of developing a construct map for a complex teaching skill based on open-ended response data.
The document is the K to 12 Curriculum Guide for Mathematics from Kindergarten to Grade 10 in the Philippines. It outlines the conceptual framework, brief course description, learning area standards, key stage standards, grade level standards, and sample grade level content for Grade 1. The goals of mathematics education are developing critical thinking and problem solving skills. Key concepts include numbers, measurement, geometry, patterns and algebra, and probability and statistics. The curriculum is based on theories of experiential learning, constructivism, and inquiry-based learning.
Calais, Gerald j[1]. the multidimensional measure of conceptual complexity nf...William Kritsonis
The document describes a new instrument called the Multidimensional Measure of Conceptual Complexity (MMCC) that aims to assess students' conceptual understanding of chemical equilibrium. [1] The MMCC measures conceptual understanding across two dimensions - conceptual depth and conceptual breadth. [2] Conceptual depth reflects hierarchical levels of understanding from acausal to emergent, while conceptual breadth reflects the range of phenomena a causal explanation can be applied to. [3] The MMCC aims to locate students within this two-dimensional space of conceptual complexity to provide meaningful measures of their understanding.
A Know-How vs. Know-What Approach in the Teaching-Learning.pdfAliZarif1
The document discusses approaches to teaching competences in physical chemistry. It proposes a multi-level problem-based learning approach to evaluate if a "know-how" or "know-what" perspective better enhances competence acquisition in students. Under this approach, problems are classified into three levels - (1) know-what (concepts), (2) know-why (competences), and (3) know-how (skills). A class would be divided into two groups, one using a bottom-up approach starting with know-what, and the other a top-down approach starting with know-how. Assessing the learning outcomes of both groups would determine the most suitable starting point for full competence mastery. The approach
1. The document describes research using perceptual learning modules (PLMs) to address persistent difficulties in mathematics learning related to pattern recognition, structural intuition, and fluency.
2. Three experiments tested PLMs focusing on structure extraction and fluency for algebra and fractions. Students using PLMs showed significant and persisting learning gains compared to traditional instruction.
3. PLMs engage students in rapid classification trials using systematic variations of mathematical structures and representations to help students learn to automatically extract relevant patterns and relationships like experts.
This document describes best practices in technical education used at Mount Zion College of Engineering & Technology. It discusses how the college uses Bloom's revised taxonomy as a framework to develop specific, measurable learning objectives aligned with cognitive levels and knowledge dimensions. Teachers create lesson plans and learning activities mapped to the taxonomy to systematically facilitate student learning. Assessment is also designed based on the taxonomy to evaluate if students achieved the objectives. The methods section provides an example mapping of an objective, activities, and assessment to the taxonomy table to illustrate how it ensures proper alignment of the educational components.
Blooms' Taxonomy for B.Ed TNTEU Notes for I.B.Ed StudentsSasikala Antony
The document discusses Benjamin Bloom's Taxonomy of Educational Objectives, which classifies learning objectives into three domains (cognitive, affective, psychomotor) and defines categories within each domain ranging from basic to more complex levels of learning. The cognitive domain includes knowledge, comprehension, application, analysis, synthesis, and evaluation. The affective domain includes receiving, responding, valuing, organizing, and characterizing. The psychomotor domain includes perception, set, guided response, mechanism, complex overt response, and adaptation. Bloom's Taxonomy provides a framework for designing instructional objectives and assessments across different types and depths of learning.
1) Research shows a mismatch between how physics is traditionally taught and how students learn. Instruction is usually deductive and focused on transmitting knowledge, while students learn best through active intellectual engagement.
2) Specific conceptual difficulties students have are resistant to traditional instruction, such as the belief that current is "used up" in a circuit. These must be explicitly addressed through multiple contexts.
3) Growth in scientific reasoning is not typically an outcome of traditional physics courses. Reasoning skills like applying concepts qualitatively and systematically must be expressly developed.
1. This document discusses ten key findings from cognitive research on learning. The findings illustrate how teaching and learning can be better understood by applying insights from cognitive science.
2. One finding is that learning occurs within the learner - teachers can provide information but students must actively construct new knowledge structures themselves. Prior knowledge also strongly influences new learning.
3. Another finding is that optimal learning requires integrating new and prior knowledge by linking more abstract relationships. Both conceptual knowledge and procedural skills are important, as are metacognitive skills to reflect on one's own learning.
Through Modular Training Increasing the Efficiency of Educationijtsrd
Professional development through modular training in the article the masses of the wider use of its possibilities to make education more effective are described and appropriate conclusions are made, recommendations are given. G. H. Nigmatova "Through Modular Training Increasing the Efficiency of Education" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Special Issue | Modern Trends in Scientific Research and Development, Case of Asia , October 2020, URL: https://www.ijtsrd.com/papers/ijtsrd35794.pdf Paper Url :https://www.ijtsrd.com/humanities-and-the-arts/education/35794/through-modular-training-increasing-the-efficiency-of-education/g-h-nigmatova
Teaching Higher Order Thinking & 21st Century SkillsTimothy Wooi
Higher Order Thinking and 21st Century Skills
I. Introduction of Higher-Order Thinking (H.O.T.) and Why?
II. Bloom’s Cognitive Taxonomy
III. Why Do We Want to Teach
Higher-Order Thinking?
IV. How Do We Teach Higher- Order
Thinking?
V. The High Investment of Higher-
Order Thinking
The document discusses teaching for transfer, which is the ability to apply what is learned in one context to new situations. It explains that there are three parts to transfer: acquisition, internalization, and expert performance. There are also two types of transfer: low-road transfer which is automatic, and high-road transfer which requires flexible and creative thinking. Some tools for teaching for transfer are discussed, such as hugging to emphasize similarities between contexts, bridging to help students make connections, and problem-based learning where students learn content by solving analogous problems. The goal is for students to be able to apply their knowledge in a variety of real-world settings.
Modeling instruction is a teaching method where students work in small groups to construct core concepts with minimal teacher guidance. They analyze sources to develop visual representations and reach a consensus through discussion. This enhances retention compared to traditional lectures. Modeling can be effective in humanities classes by having students create models of abstract concepts like historical forces or essay structure. The process of discussing and diagramming models makes concepts memorable and applicable to new situations. While humanities models will be more diverse than physics models, the value is in the dialogue and exposure of inaccurate understandings that modeling provides.
The document discusses guidelines for using National Academies publications. It states that National Academies titles are free to use for personal and non-commercial academic use. Users can link to the titles on the website rather than distributing PDFs. Written permission is required for all other uses. The copyright is held by the National Academy of Sciences with all rights reserved.
Adapting E-Learning situations for international reuse (Richter, Pawlowski, L...Richter Thomas
Pre-Publish Version of: Richter, T., Pawlowski, J.-M., & Lutze, M. (2008). Adapting E-Learning situations for international reuse. In: Sudweeks F., Hrachovec, H., & Ess, C. (Eds.), CATaC'08 Proceedings (Nimes, France): Cultural Attitudes towards Technology and Communication, School of Information Technology, Murdoch University, Murdoch, Australia, pp. 713-725.
4 Assessment of Comprehension and Application (2).pdfHafiz20006
This document discusses assessing student comprehension and application skills. It defines comprehension as grasping meaning and application as using material in new situations. Teachers should write measurable objectives stating what students will be able to do. Comprehension is assessed through questions testing translation, interpretation, and extrapolation. Application involves using rules and theories and is assessed through problems requiring identifying, explaining, predicting, and justifying solutions using principles. A variety of test questions targeting different cognitive levels and skills are provided as examples.
4 Assessment of Comprehension and Application (2).pdfHafiz20006
This document discusses assessing student comprehension and application skills. It defines comprehension as grasping meaning and application as using material in new situations. Teachers should write measurable objectives stating what students will be able to do. Comprehension is assessed through questions testing translation, interpretation, and extrapolation. Application involves using rules and theories and is assessed through problems requiring identifying, explaining, predicting, and justifying solutions using principles. A variety of test questions targeting different cognitive levels and skills are provided as examples.
The document discusses the key elements of curriculum - aims/goals/objectives, content, and learning activities. It provides details on:
1) Definitions and examples of aims, goals, and learning objectives, which should be measurable, specific statements of what learners will be able to do.
2) Sources and criteria for selecting curriculum content, which should be relevant to learners' needs and experiences, as well as consistent with social realities.
3) The importance of learning activities in putting curriculum goals and content into action through instructional strategies and methods to produce learning.
A Framework To Foster Problem-Solving In STEM And Computing EducationDereck Downing
The document presents a framework for fostering problem-solving skills across STEM and computing education. The framework was developed based on a literature review of prominent problem-solving approaches in each discipline. It aims to provide a common set of idealized problem-solving processes and methods from across STEM and computing that teachers can draw from to help students solve interdisciplinary, authentic problems. The framework is not intended to prescribe specific procedures but rather to offer a "toolbox" of epistemological approaches that students can select, customize and apply based on the context. The authors argue this integrated framework can support both teaching practices and educational research on developing problem-solving competencies.
Need and significance of teaching Mathematics-Aims: Practical, Social, Disciplinary and Cultural- Instructional Objectives: General Instructional Objectives (G.I.Os) and Specific Instructional Objectives (S.I.Os) relating to the Cognitive, Affective and Psychomotor Domain based on Bloom’s Taxonomy of Educational Objectives – Revised Bloom’s Taxonomy.
The document discusses three perspectives on learning - behaviorism, cognitivism, and constructivism. It compares their critical features from an instructional design perspective. Behaviorism views learning as changes in observable behaviors from environmental stimuli and reinforcement. Cognitivism sees learning as the processing of information, including attention, memory, and motivation. Constructivism considers learning as the active construction of knowledge by learners through experiences and reflection. The document aims to familiarize instructional designers with these perspectives to provide a foundation for designing effective instruction.
Improving Communication about Limit Concept in Mathematics through Inquisitio...IOSR Journals
In this action research study, where the subjects are our undergraduate grade mathematics students,
w e try to investigate the impact of direct ‘inquisition’ instruction on their communication and achievement.
We will strategically implement the addition of ‘replication’ study into each concept of limit over a four-month
time period and thus conclusion can be making for the rest of the Mathemat ics . The students practiced using
inquiry in verbal discussions, review activities, and in mathematical problem explanations. We discovered
that a majority of students improved their overall understanding of mathematical concepts based on an analysis
of the data we collected. We also found that in general, students felt that knowing the definition of
mathematical words are important and that it increased their achievement when they understood the concept as a
whole. In addition, students will be more exact in their communication after receiving inquiry instructions. As
a result of this research, we plan to continue to implement inquisition into daily lessons and keep replication
communication as a focus of the mathematics class
Similar to Cognitive process dimension in rbt explanatory notepages (20)
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
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it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Cognitive process dimension in rbt explanatory notepages
1. RBT Workshop- Learning material.
Prof. Dr. V. Job Kuruvilla
How Revised Bloom’s Taxonomy fosters Meaningful Learning.
1. Introduction
The most accepted view of Learning is “ Acquisition of knowledge” . If this view is predominant in
the Teaching- learning process,the teachers will adopt a strategy of presenting the information to
learners in the same way that most of the text books do. The assessment or testing also will be
confined to evaluation of how much of the presented material students can remember.
However , the revised Taxonomy is based on a broader vision: it includes not only acquiring
knowledge, but also fosters the the ability of the students to use the knowledge in a variety of
new situations. If teachers take the “knowledge acquisition view of learning, they emphasise only
one kind of cognitive processing instruction and assessment:Remembering. However, meaningful
learning transcendence this narrow view of learning, it covers a fuller range of cognitive processes.
Two of the most important goals of education are to nurture retention and to promote transfer.
Retention is the ability to remember material at a later time in almost the same way that it was
presented during instruction. Transfer is the process by which the learner is able to use what was
presented to face new situations or solve new problems. frame and answer new questions or
facilitate learning new subject matter. Hence , transfer makes sense of and be able to use what the
students have learned. Or stated differently “retention focus on the past and transfer emphasises
the future”. A focus on rote learning is consistent with the view of learning as knowledge
acquisition in which students seek to add new information to their memories, while in meaningful
or constructivist learning , students mentally organise incoming information into coherent
representation, and integrate it with existing knowledge .
The revised Taxonomy includes six cognitive process categories- one closely related to retention
(Remember) and the other five increasingly related to transfer .(Understand,Apply,Analyse.
Evaluate,and Create). On these six categories , 19 specific cognitive processes have been selected
by the original team of RBT authors. We will now briefly outline and define the six categories and
the sub categories of the cognitive process.
2.How RBT represents the full range of students’ cognitive activities.
2.1 Remember.
The Cognitive process to promote retention of the given material in the same way presented is
Remember . When we use the knowledge for more complex tasks, remembering it is essential for
meaningful learning. For example , in science, remembering terminologies like density,
momentum, inertia, etc is essential for picking up higher levels of knowledge like chemical
reaction, fossil energy etc. But focusing on remembering alone will result in fragmenting
knowledge. When meaningful learning is the goal, the remembering becomes a means to an end ,
rather than the end itself.The two associated thinking process are recognising and recalling.
Recognising (also called identifying) involves locating knowledge in longterm memory.
( Refer separate note on Cognitive Science for an idea on different types of memory). For example ,
in physics, statement of Newton’s 3 laws of motion can be stored in the same manner in which a
text book has presented . These laws can be presented in different ways , and some students carry
the law in mathematical form like F= ma, without bothering much about the intrinsic meaning.
Most of the MCQ questions fall into this category. The students are given a list ( say ,four) of
choices , and the chance of finding the right answer is more because the task is limited to
recognising the right answer from a group of four.Even a good guess may fetch success
Recalling (also called retrieving) involves a bit more difficult task. Out of a sea of
information , the students will have to find the right candidate that fit the context or criterion. A
2. question like who is the author of ‘A Tale of two cities’ will have only one answer , but a probe on to
recall who invented (discovered) radio (waves) may require more subtle and specific information;
was it Marconi as 90 % may say or Tesla as 5 % of the students may answer
From the given examples it is clear that between the two cognitive tasks , Recalling is relatively
difficult compared to Recognise.
2.2 Understand.
When the goal of instruction and learning changes to promoting transfer, the focus also shifts to
the other 5 cognitive process categories. viz : Understand , Apply , Analyse Evaluate and
Create.
Out of these , the largest category of transfer- based educational objectives is Understand.
Students understand when they could construct meaning from instructional modes- oral , written,
graphic , digital media , books or any other means.
Students understand when they build connections between new knowledge being gained and their
prior knowledge. If C+ programming is to be taught , it is better to tell the students how it has
evolved from C programming . Theory of relativity should start from associating it with Newton’s
concept of matter and motion.
Cognitive process in the category of Understand include interpreting, exemplifying, classifying,
summarising, inferring,comparing and explaining. (IEC S ICE )
i. Interpreting- (also called clarifying, paraphrasing, or representing)- occurs when a student
is enabled to convert information from one form of representation to another. In mathematics,
if a statement ascertains that current is linearly related to change in voltage , a graphic
representation (geometry) or an algebraic expression for the relationship can be made using
mathematical concepts.
ii. Exemplifying- (also called illustrating) occurs when a specific example can be found to
convey the concept to be learned. The difference between the behaviour of current passing
through a high resistance (to give more heat) and low resistance ( to give more light) can be
explained , using Electric iron Box and Incandescent lamp.
iii. Classifying. (also called categorising or subsuming)- occurs when a student determines that
something belongs to a particular category. Classification is a strong tool for understanding.In
classification of conductors, if we say copper is a good conductor and diamond is a good
conductor of heat and a bad conductor of electricity , students can debate why diamond is not a
good conductor of electricity.
iv. Summarising. (also called abstracting ) occurs when a student is able to narrate the key
concepts involved in a written or oral presentation an abridged format , retaining the salient
features , but devoid of details. A typical need is giving an abstract of a project presentation in a
short paragraph, which gives the evaluator a fairly good idea on the objectives and conclusions
of a project work.
v. Inferring. (also called concluding,extrapolating or predicting) occurs when a logical
conclusion is drawn from the presented material. An example is : conducting chemical tests in a
lab to identify an unknown compound, and based on the results , infer the chemical
composition of the material .
vi. Comparing(also called contrasting,mapping, or matching) involves identifying similarities
and differences between two or more objects, events, ideas , situations, or problems.
vii. Explaining. (also called constructing models) occurs when a student mentally constructs and
uses a cause-and effect model of the subject under review. For instance observation of different
currents in an RLC circuit and RL circuit with same active components in an electric circuit will
lead to different explanations from the students which can finally converge into a single
acceptable view based on cause and effect.
2.3 Apply.
Apply involves using set procedures to perform tasks connected with live- world problems.
The problems should be related to real world situations. These problems can be of repetitive
nature , where solutions can emerge in the from of application of known solutions , like applying a
known mathematical formula in arriving at a solution.
3. Two aspects of cognitve process in this dimension are evident:
i. Decision to be made based on information really available :
Example - For deciding on purchase of a new car, factors like economy, comfort,resale value,
prestige etc are used by applying appropriate available norms. In such cases , the word executing
(or carry out ) can be used
ii. It can be a problem , not dealt with in a routine manner in the past (to the best of the
knowledge of the student.). A totally new approach is required to solve the problem. In this context,
the word implementing ( also called using ) can be used.
Example - Designing a LPG gas burner for incinerating the waste of a municipality , for which no
previous data from other Municipalities in the state could not be used.
Yet another simple example is using multimedia for presentation of the salient features of an
environmental project in a school.
2.4 Analyse.
Analyse involves breaking material into its constituent parts and determining how these parts are
related to the overall structure.This category includes differentiating,organising and
attributing. Learning to analyse is not an end by itself, but an extension of Understanding or a
prelude to Evaluation or Creating.
Differentiating ( also called discriminating, selecting, or distinguishing),occurs when a student
discriminates relevant from irrelevant information .
Organising( also called finding coherence , integrating, outlining, parsing, or structuring)
involves determining how elements fit or function within a structure.
Example : In economics , various data on inflation, GDP , interest rate, capital investment,
unemployment etc could be analysed for finding the cause of stagnation of economy.
Attributing - occurs when a student is able to determine the point of view, biases, or ethical values
underlying presented data.
Example : If a decision is to be made on construction cost of a bridge , tangible factors like cost of
materials and labour may be available without much disagreement , but opportunity cost factors
like alternate site, environmental impact , attitudes etc requires screening of biased information
and opinions.
Even in science, some measurements made during experiments may be having errors attributed to
individual bias , and ability, (teleological effects) which are to be ascertained before an acceptable
conclusion is made.
2.5. Evaluate.
Evaluate is considered as the act of making judgements based on criteria and standards. The
frequently used parameters are, quality, effectiveness, efficiency, and consistency. If the standards
are quantitative(easier task), or qualitative ( relatively difficult task), the process is called
checking.
Checking (also called detecting, or testing) occurs when a student detects inconsistencies with in
a process or product or finds that the process does not meet the internal quality criterion. When
combined with planning, ( a cognitive process in the category Create) and implementing( a
cognitive process in the category, Apply), checking involves how well the plan is working.
Example- In Applied Chemistry , manufacturing process of a product like soap involves several
steps of chemical processes . Each process is to be checked for certain quality parameters , so that
when final product is made from the intermediary products, the quality of the Soap made is with in
the internal standards.
Yet another example is launching of a satellite - the standards of each stage of the projectile
( rocket) is to be checked against the pre- set standards , so that the final destination is reached
without much deviation.
4. Critiquing (also called judging) occurs when a student detects inconsistencies between a product
or operation and an external criteria. This external criteria can be made by the students them
selves or like applying global stands.
Example. For finding suitability of potable water, Indian standards , or WHO standards (more
stringent can be used for the cognitive process of Critiquing.
2.5 Create.
Create involves putting elements together to form a coherent or functional whole. To meet this
level of cognition , the students will have to produce an original product or process. Solving
problems by Project work, composing music or exhibiting Artistic talents, and literary work etc are
examples of Creative process.
Create has three definite stages:( i) Problem identification and representation .in which the student
tries to understand the task and generate more than one solutions (ii) solution planning in which
the student chooses a workable plan and ( iii) Execution of the solution , in which the student
successfully carries out the plan.
The first stage involves divergent thinking , in which several solutions are generated and hence
labelled as generating. This is followed by convergent thinking in which a solution method is
devised and turned into a plan. This second stage is called planning. In the final stage the plan is
executed (producing). Thus create is broken down into three cognitive processes: generating,
planning and producing.
All the innovative projects in the real world have these 3 stages. Planning also can be called
Designing , and Producing also can be called constructing . In producing , the student is given a
functional description of a goal and must create a product that satisfies the specification.
Conclusion.
The revised Taxonomy contains descriptions of 19 specific cognitive processes associated with SIX
process categories . Two of these cognitive processes are associated with Remember and 17 are
associated with the five more complex cognitive processes categories: understand,Apply, Analyse,
Evaluate, and Create. In addition to these 19, the original authors of RBT have identified another
57 words as auxiliary words or categories , to ease the difficulty of identifying appropriate
expressions for the level of cognition. (The list of these words are given separately in tabulated
form)
This analysis as per RBT norms has implications for teaching and Assessing. On the Teaching side ,
two of the cognitive process help to promote retention of learning where as 17 of them help foster
transfer of learning. This analysis of cognitive process is intended to help the test designers to
broaden the way they assess learning. The evaluation can focus on areas of cognitive process that
will give the outcome for a task or skill for which the test is used as a measurement yard stick. The
RBT model is applicable to students in primary or secondary education , but also in higher
education in all fields.