The document describes an integrated math program called Classteacher Math Program that uses various tools and methods to teach math. It includes a math lab, online modules, skill assessments, and technology-based and activity-based learning. It also describes specific programs and tools within the program like Trinity Maths, Autograph, and Math iPerform. The goal is to maximize learning through interactive and adaptive tools that engage students and address different learning needs and styles.
The document discusses several digital math programs and resources including the Classteacher Math Program, Autograph software, Trinity Maths, Math iPerform, and Math SAP. It provides details on how each program uses technology and hands-on activities to improve math learning, build confidence, and assess student skills and scholastic development in a fun and engaging way aligned with curriculum standards.
Data Science and Machine Learning with TensorflowShubham Sharma
Importance of Machine Learning and AI – Emerging applications, end-use
Pictures (Amazon recommendations, Driverless Cars)
Relationship betweeen Data Science and AI .
Overall structure and components
What tools can be used – technologies, packages
List of tools and their classification
List of frameworks
Artificial Intelligence and Neural Networks
Basics Of ML,AI,Neural Networks with implementations
Machine Learning Depth : Regression Models
Linear Regression : Math Behind
Non Linear Regression : Math Behind
Machine Learning Depth : Classification Models
Decision Trees : Math Behind
Deep Learning
Mathematics Behind Neural Networks
Terminologies
What are the opportunities for data analytics professionals
- Students with number sense have an awareness of numbers and their relationships, intuition about magnitudes, understanding of equivalence and operations.
- The document outlines critical areas of focus in number and operations for kindergarten through second grade including counting, addition, subtraction, place value and measurement.
- Developing number sense in the early grades is important for later mathematics achievement including fluency with addition and subtraction facts.
Introduction to Machine Learning Aristotelis Tsirigos butest
This document provides an introduction to machine learning, covering several key concepts:
- Machine learning aims to build models from data to make predictions without being explicitly programmed.
- There are different types of learning problems including supervised, unsupervised, and reinforcement learning.
- Popular machine learning algorithms discussed include Bayesian learning, nearest neighbors, decision trees, linear classifiers, and ensembles.
- Proper evaluation of machine learning models is important using techniques like cross-validation.
This document summarizes a presentation about a new developmental math course called Mathematical Literacy for College Students (MLCS). It discusses problems with traditional developmental math sequences, solutions explored through MLCS, and initiatives that led to its development. Key points are that MLCS covers essential math topics in one semester instead of a lengthy sequence, with a focus on understanding through application rather than manipulation alone. The document also outlines the course content areas, development process informed by research, and tips for implementing MLCS at other schools.
This lesson plan teaches secondary 3 students how to sketch exponential and logarithmic graphs using Graphmatica software. Students will work individually on computers to sketch graphs, indicating asymptotes and intercepts. They will analyze patterns to deduce shapes of other graphs. The lesson aims to develop analytical and problem solving skills. Students are assessed based on their ability to correctly complete a homework worksheet applying concepts from the lesson.
Mathematics for Primary School Teachers. Unit 1: Space and ShapeSaide OER Africa
Mathematics for Primary School Teachers has been digitally published by Saide, with the Wits School of Education. It is a revised version of a course originally written for the Bureau for In-service Teacher Development (Bited) at the then Johannesburg College of Education (now Wits School of Education).
The course is for primary school teachers (Foundation and Intermediate Phase) and consists of six content units on the topics of geometry, numeration, operations, fractions, statistics and measurement. Though they do not cover the entire curriculum, the six units cover content from all five mathematics content areas represented in the curriculum.
This unit presents an analytical approach to the study of shapes, including the make-up of shapes, commonalities and differences between shapes and a notation for the naming of shapes.
The document discusses several digital math programs and resources including the Classteacher Math Program, Autograph software, Trinity Maths, Math iPerform, and Math SAP. It provides details on how each program uses technology and hands-on activities to improve math learning, build confidence, and assess student skills and scholastic development in a fun and engaging way aligned with curriculum standards.
Data Science and Machine Learning with TensorflowShubham Sharma
Importance of Machine Learning and AI – Emerging applications, end-use
Pictures (Amazon recommendations, Driverless Cars)
Relationship betweeen Data Science and AI .
Overall structure and components
What tools can be used – technologies, packages
List of tools and their classification
List of frameworks
Artificial Intelligence and Neural Networks
Basics Of ML,AI,Neural Networks with implementations
Machine Learning Depth : Regression Models
Linear Regression : Math Behind
Non Linear Regression : Math Behind
Machine Learning Depth : Classification Models
Decision Trees : Math Behind
Deep Learning
Mathematics Behind Neural Networks
Terminologies
What are the opportunities for data analytics professionals
- Students with number sense have an awareness of numbers and their relationships, intuition about magnitudes, understanding of equivalence and operations.
- The document outlines critical areas of focus in number and operations for kindergarten through second grade including counting, addition, subtraction, place value and measurement.
- Developing number sense in the early grades is important for later mathematics achievement including fluency with addition and subtraction facts.
Introduction to Machine Learning Aristotelis Tsirigos butest
This document provides an introduction to machine learning, covering several key concepts:
- Machine learning aims to build models from data to make predictions without being explicitly programmed.
- There are different types of learning problems including supervised, unsupervised, and reinforcement learning.
- Popular machine learning algorithms discussed include Bayesian learning, nearest neighbors, decision trees, linear classifiers, and ensembles.
- Proper evaluation of machine learning models is important using techniques like cross-validation.
This document summarizes a presentation about a new developmental math course called Mathematical Literacy for College Students (MLCS). It discusses problems with traditional developmental math sequences, solutions explored through MLCS, and initiatives that led to its development. Key points are that MLCS covers essential math topics in one semester instead of a lengthy sequence, with a focus on understanding through application rather than manipulation alone. The document also outlines the course content areas, development process informed by research, and tips for implementing MLCS at other schools.
This lesson plan teaches secondary 3 students how to sketch exponential and logarithmic graphs using Graphmatica software. Students will work individually on computers to sketch graphs, indicating asymptotes and intercepts. They will analyze patterns to deduce shapes of other graphs. The lesson aims to develop analytical and problem solving skills. Students are assessed based on their ability to correctly complete a homework worksheet applying concepts from the lesson.
Mathematics for Primary School Teachers. Unit 1: Space and ShapeSaide OER Africa
Mathematics for Primary School Teachers has been digitally published by Saide, with the Wits School of Education. It is a revised version of a course originally written for the Bureau for In-service Teacher Development (Bited) at the then Johannesburg College of Education (now Wits School of Education).
The course is for primary school teachers (Foundation and Intermediate Phase) and consists of six content units on the topics of geometry, numeration, operations, fractions, statistics and measurement. Though they do not cover the entire curriculum, the six units cover content from all five mathematics content areas represented in the curriculum.
This unit presents an analytical approach to the study of shapes, including the make-up of shapes, commonalities and differences between shapes and a notation for the naming of shapes.
This document discusses initiatives to improve math literacy for college students by connecting MyMathLab, course redesign, and Quantway programs. It outlines problems with traditional developmental math sequences and solutions being tested, including Statway and Quantway programs. The Quantway approach focuses on numeracy, algebraic reasoning, proportional reasoning, and functions through application-based integrated lessons. It balances instruction methods and assesses students with online homework, projects, and tests emphasizing both skills and concepts. The goal is to give underprepared students mathematical maturity to succeed in college-level courses in one semester through this new quantitative literacy focused curriculum.
The document discusses mathematical skills and higher order thinking skills (HOTS) in mathematics. It begins by defining key arithmetic skills like number sense, measurement, and patterns that are important for students to learn. It then discusses different types of graphs and charts used to visualize data. The document outlines the five fundamental HOTS: problem solving, inquiring, reasoning, communicating, and conceptualizing skills. It notes that developing HOTS better prepares students for challenges in work and life. The document provides examples of how to incorporate HOTS into mathematics teaching and assessments in order to improve student performance.
Mathematics is defined as a science of patterns and relationships that reveals hidden patterns in the world and relies on logic and creativity. The two main goals of teaching mathematics are developing critical thinking and problem solving skills. Learning mathematics is most effective when done through active learning and problem solving. The document then outlines the key stage standards and grade level standards for mathematics in terms of the concepts, skills, and applications students are expected to understand at each level.
- Many children struggle with math, with around 28% of 4th graders and 27% of 8th graders performing below basic level in key areas like numbers and operations.
- Effective math instruction incorporates principles like setting high standards, engaging instruction, and representing numerical concepts visually. It also explicitly teaches key components like problem solving, communication, and applying math to everyday situations.
- Teachers should use instructional methods that make math concrete, like manipulatives, and teach basic math facts through programs that emphasize varied activities to build engagement and mastery.
This document outlines the K to 12 mathematics curriculum guide for the Philippines from Kindergarten to Grade 10. It discusses the conceptual framework, course description, learning area and grade level standards, time allotment, and sample content for Grade 1. The goals are critical thinking and problem solving. Key concepts covered include numbers, measurement, geometry, patterns and algebra, and statistics. The curriculum is supported by theories of experiential learning and aims to develop skills like problem solving while considering students' contexts.
Junior Primary Mathematics was developed for in-service training of junior primary/foundation phase teachers in South Africa in the late 1990s. However, with the exception of Chapter Three, the topics and approaches will be useful for the training of junior primary mathematics teachers in other African countries. In order to adapt the book, Chapter Three could simply be replaced with a chapter covering the scope and expectations of the national curriculum in the particular country for which it is intended.A pdf version of the resource is also available.
The document discusses an integrated assessment program that consists of three solutions - Assessment Centre, Assessment Devices, and Skill Assessment Program. The Assessment Centre automates the entire assessment process and enables schools to conduct standardized assessments rapidly. Assessment Devices allow for formative assessments in the classroom through student response systems. The Skill Assessment Program holistically measures student development beyond academics.
The Classteacher Science Program provides an integrated solution for science learning through three main components: the Science Lab for hands-on experiments, the Science Online platform for digital learning, and the Science SAP for skills assessment. This holistic approach goes beyond traditional science teaching by facilitating learning both inside and outside the classroom through interactive experiments, online lessons, and comprehensive skills evaluations.
An oscilloscope converts electrical signals into visual waveforms displayed on a screen. A dual-trace oscilloscope can display two such waveforms simultaneously, allowing easy comparison of inputs and outputs like those of an amplifier. It uses a single electron beam that is rapidly switched between two input channels to draw the two traces, whereas a dual-beam oscilloscope uses two separate electron beams. A dual-trace oscilloscope can operate in either alternate or chopped mode to display the two signals.
ClassteacherLearning Systems was founded in 1999 by Rohit Pande and Sameer Buti with a focus to enable technology in school education
•Over the last five years, the company has focused on developing B2B content offerings for schools, developing strong relationships with top schools
•Company owns the content and is one of the top players based on quality and breadth of offerings
•Partnerships with 800+ schools; worked with ~10,000 teachers over the years
•Classteachersolutions can be bundled into two segments:
•Technology for teaching –Pioneers of interactive classrooms in India, Classteachersolutions empower teachers thorough digital interactive classrooms, assessment programs, online programs, subject labs, etc.
•Technology in the hands of the students –Solutions for personalized adaptive learning like ClassPad, iMath, ClassBooklibrary, iPerformApp, etc help empower the students
•Industry overview
•Classteacherhas seen multiple adoption cycles of technology during its existence of over 12 years
•Apart from Classteacherlearning systems, only a couple of companies have deep understanding of the vertical
•Technology adoption has reached over 15,000 schools
•Huge spurt in demand for technology in schools
•ClassteacherAssets
•Content Management System –For easy access, search, archiving and sharing
•Resources in Multiple Formats –Interactive concepts, tools and activities
•12 years of content development –3 million man-hours
•Numerous iterations and generations of product
•Partnerships with leading specialized international software, inclusive of co-product development
•Over 80,000 concepts in multiple multimedia engaging formats
•Vast product IP developed a vast IP base which is leveraged in various product offerings into the market
•Partnerships with 800+ schools; relationships with top school systems and chains
•Poised to lead transformation in industry through next level of solutions for personalized learning
32 Ways a Digital Marketing Consultant Can Help Grow Your BusinessBarry Feldman
How can a digital marketing consultant help your business? In this resource we'll count the ways. 24 additional marketing resources are bundled for free.
This document discusses the integration of technology and manipulatives in mathematics teaching. It outlines topics like virtual manipulatives, dynamic geometry software, computer algebra systems, and other technologies. Virtual manipulatives allow students to interact with visual representations of dynamic objects to build mathematical understanding. Effective use requires teachers to understand representations and lesson structure. Sample websites for virtual manipulatives on measurement, conversions, and volume are provided. Integrating technology can keep students engaged by empowering them in today's technological world.
Mathematics skill development programmeTeam BiZdom
The document provides an overview of a Mathematics Skill Development programme that aims to help children overcome their fear of mathematics and gain confidence in the subject. It does this by introducing problem-solving techniques using real-life examples to build a deeper understanding of mathematical concepts and operations. The programme covers topics like algebra, geometry, measurement, numbers and arithmetic, probability, statistics and mathematical reasoning. It uses interactive booklets and CD-ROMs to explain examples at different levels of difficulty to develop logical and creative thinking skills.
This document provides an overview of teaching optional mathematics. It discusses the nature and purpose of optional mathematics, including developing additional knowledge and skills beyond compulsory mathematics. It outlines general objectives like introducing functions and graphs. Techniques like demonstration, problem-solving, and cooperative learning are described. Materials include textbooks, practice books, and GeoGebra. Students will be evaluated through methods like observation, participation, practicums, tests, and formative/summative assessments.
The document discusses mathematical skills and higher order thinking skills (HOTS) in mathematics. It defines arithmetic skills such as addition, subtraction, multiplication and division. It also discusses geometric skills and interpreting graphs and charts. The document then defines HOTS as including skills such as problem solving, reasoning, communication and conceptualizing. It provides examples of each skill and discusses the importance of incorporating HOTS into mathematics teaching to better prepare students. The document concludes by providing suggestions for how to improve students' HOTS through revising textbooks and using open-ended testing.
Mathematical skills such as arithmetic, geometry, and graphing are important foundations for students. Key skills include number sense, measurement, patterns, problem-solving, and computational fluency. Higher-order thinking skills (HOTS) like problem-solving, reasoning, and conceptualizing are valued as they better prepare students for challenges. HOTS involve skills like critical thinking, creativity, and systems thinking. Teachers should focus on developing students' HOTS through open-ended learning activities.
This document provides an overview and agenda for a Math 2 course. It outlines the course objectives which include number sense, patterns/functions/algebra, statistics/probability, and geometry/measurements. The agenda for the day is then presented, including setting goals, checking current understanding, and brainstorming places where math is used in the real world. Surveys are conducted to understand students' feelings about math and set individual goals. Students also show what math concepts they already know.
This document provides an agenda and objectives for a Math 2 course on June 20, 2011. The objectives include number sense, patterns/functions/algebra, statistics/probability, geometry/measurements. Today's agenda includes getting to know classmates, graphing things in common/unique, setting class and education goals, and assessing current math understanding. Students will introduce themselves, create a spreadsheet of information, complete a math survey and interest survey, discuss goal setting, and take a math assessment. The class will also discuss applying math concepts to real world problems daily.
This document summarizes assistive technology options for students with mathematics learning disabilities. It describes characteristics of these disabilities including difficulties with number sense, patterns, spatial reasoning, and math vocabulary. It then outlines several handheld devices, drill and practice software, simulations, word processors, and manipulatives that can help these students learn math skills and concepts in an accessible way. Examples provided include calculators, software like Mighty Math and Wild West Math, and virtual manipulatives like Intellimathics and SMARTBoard simulations.
This document discusses initiatives to improve math literacy for college students by connecting MyMathLab, course redesign, and Quantway programs. It outlines problems with traditional developmental math sequences and solutions being tested, including Statway and Quantway programs. The Quantway approach focuses on numeracy, algebraic reasoning, proportional reasoning, and functions through application-based integrated lessons. It balances instruction methods and assesses students with online homework, projects, and tests emphasizing both skills and concepts. The goal is to give underprepared students mathematical maturity to succeed in college-level courses in one semester through this new quantitative literacy focused curriculum.
The document discusses mathematical skills and higher order thinking skills (HOTS) in mathematics. It begins by defining key arithmetic skills like number sense, measurement, and patterns that are important for students to learn. It then discusses different types of graphs and charts used to visualize data. The document outlines the five fundamental HOTS: problem solving, inquiring, reasoning, communicating, and conceptualizing skills. It notes that developing HOTS better prepares students for challenges in work and life. The document provides examples of how to incorporate HOTS into mathematics teaching and assessments in order to improve student performance.
Mathematics is defined as a science of patterns and relationships that reveals hidden patterns in the world and relies on logic and creativity. The two main goals of teaching mathematics are developing critical thinking and problem solving skills. Learning mathematics is most effective when done through active learning and problem solving. The document then outlines the key stage standards and grade level standards for mathematics in terms of the concepts, skills, and applications students are expected to understand at each level.
- Many children struggle with math, with around 28% of 4th graders and 27% of 8th graders performing below basic level in key areas like numbers and operations.
- Effective math instruction incorporates principles like setting high standards, engaging instruction, and representing numerical concepts visually. It also explicitly teaches key components like problem solving, communication, and applying math to everyday situations.
- Teachers should use instructional methods that make math concrete, like manipulatives, and teach basic math facts through programs that emphasize varied activities to build engagement and mastery.
This document outlines the K to 12 mathematics curriculum guide for the Philippines from Kindergarten to Grade 10. It discusses the conceptual framework, course description, learning area and grade level standards, time allotment, and sample content for Grade 1. The goals are critical thinking and problem solving. Key concepts covered include numbers, measurement, geometry, patterns and algebra, and statistics. The curriculum is supported by theories of experiential learning and aims to develop skills like problem solving while considering students' contexts.
Junior Primary Mathematics was developed for in-service training of junior primary/foundation phase teachers in South Africa in the late 1990s. However, with the exception of Chapter Three, the topics and approaches will be useful for the training of junior primary mathematics teachers in other African countries. In order to adapt the book, Chapter Three could simply be replaced with a chapter covering the scope and expectations of the national curriculum in the particular country for which it is intended.A pdf version of the resource is also available.
The document discusses an integrated assessment program that consists of three solutions - Assessment Centre, Assessment Devices, and Skill Assessment Program. The Assessment Centre automates the entire assessment process and enables schools to conduct standardized assessments rapidly. Assessment Devices allow for formative assessments in the classroom through student response systems. The Skill Assessment Program holistically measures student development beyond academics.
The Classteacher Science Program provides an integrated solution for science learning through three main components: the Science Lab for hands-on experiments, the Science Online platform for digital learning, and the Science SAP for skills assessment. This holistic approach goes beyond traditional science teaching by facilitating learning both inside and outside the classroom through interactive experiments, online lessons, and comprehensive skills evaluations.
An oscilloscope converts electrical signals into visual waveforms displayed on a screen. A dual-trace oscilloscope can display two such waveforms simultaneously, allowing easy comparison of inputs and outputs like those of an amplifier. It uses a single electron beam that is rapidly switched between two input channels to draw the two traces, whereas a dual-beam oscilloscope uses two separate electron beams. A dual-trace oscilloscope can operate in either alternate or chopped mode to display the two signals.
ClassteacherLearning Systems was founded in 1999 by Rohit Pande and Sameer Buti with a focus to enable technology in school education
•Over the last five years, the company has focused on developing B2B content offerings for schools, developing strong relationships with top schools
•Company owns the content and is one of the top players based on quality and breadth of offerings
•Partnerships with 800+ schools; worked with ~10,000 teachers over the years
•Classteachersolutions can be bundled into two segments:
•Technology for teaching –Pioneers of interactive classrooms in India, Classteachersolutions empower teachers thorough digital interactive classrooms, assessment programs, online programs, subject labs, etc.
•Technology in the hands of the students –Solutions for personalized adaptive learning like ClassPad, iMath, ClassBooklibrary, iPerformApp, etc help empower the students
•Industry overview
•Classteacherhas seen multiple adoption cycles of technology during its existence of over 12 years
•Apart from Classteacherlearning systems, only a couple of companies have deep understanding of the vertical
•Technology adoption has reached over 15,000 schools
•Huge spurt in demand for technology in schools
•ClassteacherAssets
•Content Management System –For easy access, search, archiving and sharing
•Resources in Multiple Formats –Interactive concepts, tools and activities
•12 years of content development –3 million man-hours
•Numerous iterations and generations of product
•Partnerships with leading specialized international software, inclusive of co-product development
•Over 80,000 concepts in multiple multimedia engaging formats
•Vast product IP developed a vast IP base which is leveraged in various product offerings into the market
•Partnerships with 800+ schools; relationships with top school systems and chains
•Poised to lead transformation in industry through next level of solutions for personalized learning
32 Ways a Digital Marketing Consultant Can Help Grow Your BusinessBarry Feldman
How can a digital marketing consultant help your business? In this resource we'll count the ways. 24 additional marketing resources are bundled for free.
This document discusses the integration of technology and manipulatives in mathematics teaching. It outlines topics like virtual manipulatives, dynamic geometry software, computer algebra systems, and other technologies. Virtual manipulatives allow students to interact with visual representations of dynamic objects to build mathematical understanding. Effective use requires teachers to understand representations and lesson structure. Sample websites for virtual manipulatives on measurement, conversions, and volume are provided. Integrating technology can keep students engaged by empowering them in today's technological world.
Mathematics skill development programmeTeam BiZdom
The document provides an overview of a Mathematics Skill Development programme that aims to help children overcome their fear of mathematics and gain confidence in the subject. It does this by introducing problem-solving techniques using real-life examples to build a deeper understanding of mathematical concepts and operations. The programme covers topics like algebra, geometry, measurement, numbers and arithmetic, probability, statistics and mathematical reasoning. It uses interactive booklets and CD-ROMs to explain examples at different levels of difficulty to develop logical and creative thinking skills.
This document provides an overview of teaching optional mathematics. It discusses the nature and purpose of optional mathematics, including developing additional knowledge and skills beyond compulsory mathematics. It outlines general objectives like introducing functions and graphs. Techniques like demonstration, problem-solving, and cooperative learning are described. Materials include textbooks, practice books, and GeoGebra. Students will be evaluated through methods like observation, participation, practicums, tests, and formative/summative assessments.
The document discusses mathematical skills and higher order thinking skills (HOTS) in mathematics. It defines arithmetic skills such as addition, subtraction, multiplication and division. It also discusses geometric skills and interpreting graphs and charts. The document then defines HOTS as including skills such as problem solving, reasoning, communication and conceptualizing. It provides examples of each skill and discusses the importance of incorporating HOTS into mathematics teaching to better prepare students. The document concludes by providing suggestions for how to improve students' HOTS through revising textbooks and using open-ended testing.
Mathematical skills such as arithmetic, geometry, and graphing are important foundations for students. Key skills include number sense, measurement, patterns, problem-solving, and computational fluency. Higher-order thinking skills (HOTS) like problem-solving, reasoning, and conceptualizing are valued as they better prepare students for challenges. HOTS involve skills like critical thinking, creativity, and systems thinking. Teachers should focus on developing students' HOTS through open-ended learning activities.
This document provides an overview and agenda for a Math 2 course. It outlines the course objectives which include number sense, patterns/functions/algebra, statistics/probability, and geometry/measurements. The agenda for the day is then presented, including setting goals, checking current understanding, and brainstorming places where math is used in the real world. Surveys are conducted to understand students' feelings about math and set individual goals. Students also show what math concepts they already know.
This document provides an agenda and objectives for a Math 2 course on June 20, 2011. The objectives include number sense, patterns/functions/algebra, statistics/probability, geometry/measurements. Today's agenda includes getting to know classmates, graphing things in common/unique, setting class and education goals, and assessing current math understanding. Students will introduce themselves, create a spreadsheet of information, complete a math survey and interest survey, discuss goal setting, and take a math assessment. The class will also discuss applying math concepts to real world problems daily.
This document summarizes assistive technology options for students with mathematics learning disabilities. It describes characteristics of these disabilities including difficulties with number sense, patterns, spatial reasoning, and math vocabulary. It then outlines several handheld devices, drill and practice software, simulations, word processors, and manipulatives that can help these students learn math skills and concepts in an accessible way. Examples provided include calculators, software like Mighty Math and Wild West Math, and virtual manipulatives like Intellimathics and SMARTBoard simulations.
This document provides guidance on students' learning progress in mathematics for Form 3 in Malaysia. It outlines 10 aims and objectives for the mathematics curriculum, including developing students' ability to think mathematically and apply math knowledge to solve problems. It then describes 6 performance bands related to mastering basic knowledge, skills, problem-solving abilities, and applying math creatively. Finally, it gives descriptors for each topic covered in Form 3 math, such as shapes and space, relationships, and the skills expected at each band level.
The document outlines the conceptual framework and pedagogical approaches of the Philippines K-12 mathematics curriculum. It describes the twin goals of critical thinking and problem solving. It also explains the spiral approach where mathematical concepts increase in depth and breadth as students progress through grades, ensuring a seamless transition in learning.
This document provides teaching objectives, activities, and assessments for a geometry unit. The unit focuses on basic geometric elements like lines, segments, angles, as well as flat elementary figures including triangles, quadrilaterals, and regular polygons. Students will use technological tools to investigate geometric properties and relations. They will analyze city maps to study street configurations. The goal is for students to describe, analyze, and classify geometric shapes and structures while developing problem-solving, reasoning, and communication skills in mathematics.
Igcse international mathematics extended standardsRoss
This document outlines the aims, assessment objectives, and curriculum content for the IGCSE International Mathematics exam. The aims focus on developing mathematical skills and applying them to other subjects and real-world problems. The assessment objectives evaluate students' ability to apply mathematical concepts, solve problems, recognize patterns, draw conclusions, and communicate mathematically. The curriculum content covers topics in number, algebra, functions, and geometry including operations, equations, graphs, sequences, trigonometry, and geometric shapes and their properties.
Mcc Yr 10 Measurement Maths Course Outline Feb19 10Brenda Menzel
This document provides an overview of the topics, chapters, and progression points covered in the Year 10 Mathematics curriculum at Murrayville Community College over two semesters. Semester one covers rational and irrational numbers, measurement, trigonometry, linear and quadratic graphs, and data analysis. Semester two covers exponential functions, circle geometry, probability, algebra, and variation. Measurement and trigonometry are covered for four weeks, focusing on relationships between area, perimeter, volume, and trigonometric ratios. Students will define key terms, identify knowledge needed to complete tasks, and work mathematically by identifying variables, constraints, and formulating conjectures.
Ict lesson plan for sec 1 e (fuctions and graphs)bryan
This lesson plan is for a 1-hour mathematics lesson on graphs of linear equations for secondary 1 students. Students will work individually on computers to explore how the graphs of different types of linear equations look. They will investigate equations of the forms y=a, x=b, and y=mx+c, and learn how changing the variables affects the graphs. The teacher will assess student understanding through a class discussion and assigned textbook questions.
Ict lesson plan for sec 1 e (fuctions and graphs)bryan
This lesson plan is for a 1-hour mathematics lesson on graphs of linear equations for secondary 1 students. Students will work individually on computers to explore how the graphs of different types of linear equations look. They will investigate equations of the forms y=a, x=b, and y=mx+c, and learn how changing the variables affects the graphs. The teacher will assess student understanding through a class discussion and assigned textbook questions.
The document provides an overview of the Algebra 1 Unit 1 curriculum including vocabulary terms, objectives, lessons, and assessment. Key points include:
- Vocabulary terms will be introduced from the textbook and may appear on tests.
- Objectives are to review math foundations, develop problem solving and note-taking skills, and understand mathematical concepts like functions.
- Lessons will focus on graphing and analyzing data, working with variables, order of operations, number types, probability, and matrices.
- Assessments include checkpoints and a test at the end of the unit.
The Year 9 Maths Course Outline includes four units over one semester:
1. Number Skills involves revising basic number concepts like decimals, fractions, percentages and scientific notation. Students will learn about surds, simplifying, adding, subtracting, multiplying and dividing them.
2. Pythagoras and Trigonometry teaches students about right-angled triangles, Pythagorean Triads, and using trigonometry to calculate unknown sides and angles of elevation and depression.
3. Measurement revises area, perimeter, and calculating volumes of shapes. Students will complete a design project calculating costs of a sprinkler system.
4. Quadratic Algebra expands students' knowledge of pron
This document provides an overview, standards, concepts, tasks, and materials for a 4th grade mathematics unit on whole numbers, place value, and rounding. The unit focuses on reading, writing, identifying, and rounding multi-digit whole numbers. Students will solve problems using the four operations on whole numbers and represent problems with equations and letters. Key concepts include place value, factors, multiples, prime and composite numbers, and the relationship between multiplication and division. The unit provides learning tasks and a culminating project to assess student understanding.
- The document discusses the importance of mathematics education in Tamil Nadu. It notes the implementation of a uniform curriculum across all school streams as an opportunity to improve education.
- Mathematics is described as the "queen of all sciences" with intrinsic value and beauty. It plays an indispensable role in sciences and engineering. Mathematical knowledge is essential for growth in science, technology, and any individual's chosen field.
- Thiruvalluvar, a Tamil poet from over 2000 years ago, underlined the importance of mathematical education. We need mathematics to solve increasingly complex problems in life, and it is a creative force, not just a problem-solving tool.
1. An Integrated Solutions Approach
Classteacher Math Program
“The object of education is to prepare the young to educate themselves throughout their
lives.”......Robert M Hutchins
1
2. Math Lab Math Online Math SAP
Math Skill Assessment
Program
Technology Based Learning Math iPerform o Co-Scholastic Skills
o Autograph o Math Learning zone assessment
o Trinity o Math Assessment zone o Problems Solving &
Activity Based Learning o Math Interactive zone Creativity
o Math lab aids. Interactive o Concept Formation
tools and manipulative o Concept
Retention, etc
3. Manipulative Kit
…designed for learners to perceive mathematical concepts with the help of manipulatives
Trinity Maths
"Maximizes the power and potential of the ICT, the successful teacher and the pupil."
"...multiple clue buttons provide differentiation to include lower ability pupils.“
"...extension and enrichment activities address the needs of gifted and talented pupils."
Autograph
..born in the classroom, and uniquely rich in pedagogy!
Ideal for graphing and geometry (2D and 3D), statistics and probability
4. Manipulative kit
Manipulative kit consists of 34 manipulatives:
Number kit Clock
3D net Area circle
Algebra kit Hollow cylinder
Ring of theorem Alphabets
Cuisenaire rods Pythagoras kit
Geoboard with beads Pattern Roman number
Circle kits Blocks Fraction kits algebra kit
Place value board Interlocking 2d shapes
Pattern kits Cubes Area trapezium
3D shapes Area of obtuse angle
Triangle kit Marble
Money kit Dummy cheque book
Volume kit Number card
Mirror dice kit Number Integer
lines
Magnetic numbers Tiles Area of midpoint theorem
Abacus Thermometer
Skip counting board Area of parallelogram
5. Trinity Maths
An eclectic mix of traditional, progressive and original mathematical material
Problem solving in engaging real-life contexts and calculator assisted questions
Exercises generated by random numbers, massive data sets and user-defined values
Interactive, dynamic and versatile activities equivalent to other topic-specific software
6. Trinity Maths
Controls are strategically placed and all content is presented on a white background
Instant feedback to the teacher and pupils provides formative assessment for learning
Trinity Maths multiple clue buttons provide differentiation for lower ability pupils
Extension and enrichment activities are included for gifted and talented pupils
7. Autograph
Data Sets and Groupings Operations with data sets
Data entered as either raw or grouped Continuous Measurements of histograms and cumulative
or discrete data; Transform a data set frequency diagrams Sample from data sets,
Dynamically change class width on grouped data demonstrating the central limit theorem
Generate data from probability distributions
Probability distributions
Plot and sample from Rectangular (discrete or
continuous)
Binomial, Poisson, Geometric, Normal, etc.
Representations of data
Histograms including frequency density
Cumulative Frequency diagrams
Box and whisker diagrams
8. Autograph
Creation of interactive objects based on moveable Differentiate, find the area below a curve or
points,lines, vectors, conics, polynomials, shapes, Between two curves. Integration treated as a first
data sets
order differential equation
Differential equations: First and second order solved
Shapes and transformations: Shapes either from a
set of points or from a list of presets.
Transformations including stretches
Shears, reflection, rotations
Enlargements, translations
as well as arbitrary matrix transformations
9. Autograph
Vectors Create as an interactive object using points Numerical methods: Bisection solution Newton
or with cartesian or polar coordinates. Vectors can Raphson method. Step forwards and backwards
be added, subtracted, multiplied, duplicated, have
the angle between them found
Equations One line true notation entry in explicit,
implicit, parametric, piecewise, and polar forms
Numerical integration. Rectangle, trapesium and
Simpson's methods
Scatter graphs Data sets from points, files or entered
through Autograph's spreadsheet
Least squares regression graphically illustrated
Slow plot allows you to draw curves incrementally,
Fit straight lines, polynomial or fit your own equation
stopping at important points
to the data
10. Autograph
Points as the basis of objects :Form objects Vectors: Vectors created from points or entered in
including: shapes, lines, vectors planes Cartesian form.
Shapes : Either form shapes from joined triangles Equations: Explicit, implicit, parametric, spherical and
or select from a list of preset shapes cylindrical polars
Draw normals and tangets to surfaces and parametric
Transform shapes: Rotations
Curves. Acceleration and velocity vectors to
Reflections
parametric curves
Enlargements
Translations
as well as arbitrary matrix transformations
11. Math iPerform is a web based platform that provides a personalized Math self learning environment for students and
functions as an extension of the classroom
1
Study Planning • Students discover what they already know in Math based on
previous scores and for content areas that they need to master
2
• The primary mode of instruction explains the Math concepts within each lesson
Explain • Students practice their knowledge by solving problems and receiving immediate
Apply feedback
Explore • Students challenge themselves by investigating/solving tougher questions
3
Connect to peers • Focus on Collaborative Learning!
Seek guidance • Students connect and interact with their peers all around the country
iPoints • A unique feature of boosting students performance and motivating them by
featuring them on Math iPerform pages; top iPoint scorers win exciting prizes
12. iPerform caters to variety of learning styles and interests of all students
Benefits to students
Finely graded questions
Detailed solutions
Comprehensive coverage
Regular interactive sessions with iperform mentors
Collaborative learning environment
iPoints
Testimonials:
"I like the way in which tests are gradually graded from simple to tough. " Preeti Singhal (Student)
"I love the way in which topics are dealt in iPerform. Before this whenever I missed a particular class I had to sit with
boring books for hours, but now with iPerform I get to know the concepts within 30 minutes!" Sayak Kapoor (Student)
13. Ensures discipline of self-learning in students under the guidance of the
parents
Benefits to parents
Engaging content
Self-paced, requires no/minimal supervision
Carefully designed questions, animations and explanations
Online mentors for much needed guidance and support
Detailed solutions
Comprehensive coverage
Collaborative learning environment
Testimonials:
“My daughter’s confidence in Maths and Science has received a huge boost within 3 months She is definitely showing
signs of improvement. Less expensive than a tutor!” Mr. Rajiv Saxena (Parent)
“My son remains glued to iPerform for almost everything, be it learning, taking tests or clearing his doubts!” Mrs. Renuka
Sharma (Parent)
14. Enables schools to confirm sense of progress towards academic
success by achieving small instances of success
Benefits to Schools
Interesting animations and teaching
Provides consistency of learning inputs
Acts as an extended arm for teachers
Allocation of assignments, homework and quizzes
Helps bridge the gap for weaker students
Testimonials:
“The program is comprehensive and very well designed. My students ask more homeworks on iPerform, a thing I never
witnessed before. And almost 90% of them attempt more quizzes on iPerform before they are even asked for it.” Mrs.
Shelley Kumar (Teacher)
15. Paper and Pen based test every year to measure co-scholastic
aptitude and development of skills in students
Measures co-scholastic skills including problem solving and
creativity:
SAP Levels:
Focus and attention span
Concept formation Level 1: Grades 3rd, 4th and 5th
Concept retention Level 2: Grades 6th, 7th and 8th
Quantitative aptitude
Level 3: 9th and 10th
Concept understanding and comprehension
Application of math in everyday life
Solving of word problems
Development of Math aptitude
Testimonials:
“Math SAP goes beyond academic assessment and focusses on skill assessment and development based on application of
Math in real life. Students have now started appreciating the use of Math in real life as compared to never valuing math
concepts before” Mr. Arjun Shenoy (Teacher)
16. Detailed student reports
Question Wise Report
Question-wise report
Country % correct
Student's Answer
School % Correct
Error Indicated
Correct option
Report for each student, with the following
on display: Question number Topic
o Question no.
o Topic
o Student’s answer 18 Probability B B 83.2 85.7
o Correct option 22 Algebra and D C 72.8 80
o School% Correct patterns
o Country% correct, etc. 25 Number System A A 72.5 75
Skillwise report: Skill Profile
A report that shows how a student has been
rated in three assessed skills Application of Math
o Application of Math
o Problem Solving and creativity Problem Solving and Creativity
Student
o Math in Daily Life
Math in Daily Life
5.5 6 6.5 7
17. Math Lab
Learn Math Online
Math Lab
Math Online Math Online
Interaction Classteacher Explore
Math Program
Math SAP Math Online
Skill Scholastic
Assessment Assessment
18.
Approach Solution beyond manipulatives
Complete Math learning platform
Comprehensive Assessments -
Trinity
Features Ability to learn beyond school
curriculum - Autograph
Use of Math Solution in Classroom
Coverage Mapping for classes 1-12