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The document discusses Singapore Math and its spiral curriculum approach. It provides examples of how fractions are taught over multiple grades, with concepts being revisited and built upon each year. It also discusses enrichment lessons, and gives an example of a lesson where students explore different methods for dividing fractions by whole numbers.

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Detailed Lesson Plan in Math

The lesson plan summarizes a math lesson on relations and functions taught to an 8th grade class. The plan outlines the intended learning outcomes, lesson contents from references, learning experiences through group activities, and assessment of student understanding. The lesson integrates concepts from multiple subjects like science, social studies, and technology and relates functions to real-world examples of relationships and careers to enhance student engagement and comprehension.

Defining a variable in an algebraic expression and equation.

This document outlines a practice teaching lesson plan on patterns and algebra that defines variables and expressions. The objectives are to demonstrate understanding of sequences in forming rules, expressions, and equations. The lesson plan includes reviewing previous concepts, establishing the purpose of defining variables, presenting sample problems, discussing new concepts through examples, independent practice identifying variables, finding applications, generalizing the definition of a variable, evaluating learning, and additional practice problems. The lesson concludes with reflections on its effectiveness.

*Math Lesson Plan #1

This lesson plan introduces 1st grade students to measurements using inches. The teacher will capture students' interest through questions and group activities measuring classroom objects. Students will then explore measuring through a scavenger hunt. To explain the concepts, the teacher will ask students what they know about measurement and introduce inches and rulers. New vocabulary like inches, length, and unit will be defined. Later, students will develop a deeper understanding of standard units by comparing different measurement methods. The lesson objectives will be evaluated through homework, group work observations, and a class discussion to review the key points.

Mathlessonplan

This lesson plan outlines a 2nd grade math lesson on data collection and graphing. Students will sort M&M candies by color, record the data, and create a bar graph to represent their findings. The lesson aims to teach students how graphs can be used to visualize and compare collected data. Students will work cooperatively to observe, analyze, and discuss the results. The teacher reflected that the lesson was successful in engaging students with a fun activity to learn about creating and interpreting graphs.

2014 K-2 M4thodology Day 1

This document contains information from a presentation on developing number sense and problem-solving skills for grades K-2. It includes example math tasks and problems involving counting, addition, subtraction, and comparing quantities. Strategies are provided for using objects, pictures and diagrams to model word problems and develop conceptual understanding of part-whole and comparison situations. The document also lists questions to guide effective lesson planning and Polya's four-step model for mathematical problem-solving.

lesson 5 adding 2 digit numbers

The document outlines the learning outcomes, assessment strategies, instructional plan, and assessment of student learning for a math lesson on addition of whole numbers up to 1000. It describes representing addition strategies concretely, pictorially, and symbolically, as well as estimating sums. The plan involves using place value cards, ten frames, and a tens-ones mat to build numbers and add with regrouping. Student understanding will be assessed through observation, problem solving, and explaining strategies.

Technology Infusion Presentation

The document describes a physical science lesson on heat and heat technology taught to 8th grade students using a SmartBoard. The SmartBoard is used to display warm-up questions, worksheets, and for students to write answers. Students seem more engaged with the interactive SmartBoard compared to traditional methods. The only issues are shadows appearing when writing and occasional bumps misaligning the screen.

Anju lessn pdf

This document provides a lesson plan for teaching equations and different changes to equations to 8th standard students. The lesson introduces key terms like equations and concepts of multiplication and division in single problems. Students will learn to identify different changes in equations, explain terms, illustrate examples, detect errors, compare equations and suggest methods. Through group activities and discussions, students will solve example equations, understand inversions, and recognize how to derive the original number from the changed result. The goal is for students to understand different changes that can occur in equations and be able to solve various equation problems.

Math.lesson plan.1

This lesson plan is for a 5th grade math class to teach dividing two-digit dividends by one-digit divisors without calculators. The teacher will use boxes of tissues and example word problems to demonstrate the concepts of dividend, divisor, quotient, and remainder. Students will then complete a worksheet independently and practice with flash cards in pairs. To assess understanding, students will complete an exit card word problem about dividing marbles between brothers. The learning specialist will support students with IEPs.

problem solving of mathematics

The document introduces the concepts of problem solving in mathematics learning. It states that problem solving skills are more important than just acquiring knowledge, as problem solving is required in daily life. It defines a problem as an obstacle between the current state and the desired goal, classifying problems as routine or non-routine. Problem solving is described as the process of overcoming obstacles through critical thinking and strategies to find a solution. A commonly used 4-step model for problem solving proposed by George Polya is introduced, involving understanding the problem, devising a strategy, carrying out the strategy, and checking the result. Sample problems and their solutions using this model are provided.

Module 4 lesson 12

This document contains a lesson on distributing expressions. It includes examples of distributing multiplication over addition in expressions like 2(a + b) and 3(7d + 4e). Students are asked to write equivalent expressions using the distributive property, both with and without models. They practice this by creating models and distributing expressions for problems like 3(x + y) and 4(11h + 3g). The lesson aims to teach students how to move between factored and expanded forms of expressions.

Introduction to proportion

This document outlines a lesson plan taught by teacher Farsana S. on the concept of ratio and proportion to 8th standard students. The lesson begins with an introduction activity to assess students' prior knowledge of ratios. Students are then split into groups and given activity sheets to determine whether given ratios are proportional. Through these activities and examples provided by the teacher, the students develop an understanding of what proportional ratios are. At the end, the students solve word problems involving proportions and the teacher assigns a follow up activity and homework on the topic.

Adding / subtracting dissimilar fractions

This lesson plan aims to teach students how to add and subtract dissimilar fractions. The lesson begins with a drill identifying similar and dissimilar fractions. Students will then review adding and subtracting similar fractions. To motivate students, a math video will be played. Next, the teacher will present and discuss how to add and subtract dissimilar fractions through worked examples and a word problem. Students will then practice adding and subtracting dissimilar fractions independently and solve word problems involving dissimilar fractions. Finally, students will be evaluated through additional fraction addition and subtraction questions, as well as word problems, and complete an agreement activity in their math workbook.

Comparing fractions (semi detailed)

A semi-detailed lesson plan about Comparing Fractions. This will be a great help for those who are practice teaching.

joyful_learning_of_mathematics

This document discusses various tools and techniques for teaching mathematics creatively and joyfully. It emphasizes the need to use blended strategies to engage different types of learners and develop higher-order thinking skills. Some recommended approaches include using different types of papers, foldables, games like sudoku and puzzles, interactive applets, collaborative projects, blogs, appreciating math in everyday examples, origami, peer teaching and more. The goal is to make math accessible and encourage passion for learning through independent and creative environments.

4A's Detailed Lesson Plan Grade 2

The document provides a detailed lesson plan for a 2nd grade mathematics class. The objectives are to teach dividing two-digit numbers by a one-digit number without remainder through examples and practice problems. The lesson includes reviewing concepts, working through word problems as a class, demonstrating the steps to solve problems, and having students complete group activities and a game to practice their skills. The goal is for students to understand and be able to apply the process of dividing multi-digit numbers.

Lesson plan multiplication g.3

This document contains a semi-detailed lesson plan for teaching students how to multiply 2 to 4 digit numbers by 1 to 2 digit numbers without regrouping. The lesson plan includes learning objectives, materials, and a sequence of activities: practicing multiplication facts with flash cards, reviewing key concepts, presenting sample problems, allowing students to practice problems in groups and individually, evaluating students abilities, and assigning additional problems as homework. The overall goal is for students to learn and demonstrate accurate and careful multiplication of multi-digit numbers.

Mattie Davis Solving equations using algebra tiles edci 557

The document describes a lesson plan for teaching students to solve equations using algebra tiles. It includes objectives, procedures, student activities and assignments. Students will work in groups to model equations step-by-step using tiles, draw diagrams, and explain solutions. They will also interview professionals who use equations and complete computer activities and assessments to reinforce the concepts.

To be numerate St Joseph's School

This document summarizes a parent information evening about numeracy and mathematics teaching at St Joseph's School. It discusses how mathematics is now taught using multiple strategies and developmental stages. Parents are encouraged to ask their children questions about how they solve problems and to discuss mathematics at home. A variety of games that can be played at home with dice, cards and dominoes are suggested to support children's numeracy learning.

Detailed Lesson Plan in Math

Detailed Lesson Plan in Math

Defining a variable in an algebraic expression and equation.

Defining a variable in an algebraic expression and equation.

*Math Lesson Plan #1

*Math Lesson Plan #1

Mathlessonplan

Mathlessonplan

2014 K-2 M4thodology Day 1

2014 K-2 M4thodology Day 1

lesson 5 adding 2 digit numbers

lesson 5 adding 2 digit numbers

Technology Infusion Presentation

Technology Infusion Presentation

Anju lessn pdf

Anju lessn pdf

Math.lesson plan.1

Math.lesson plan.1

problem solving of mathematics

problem solving of mathematics

Module 4 lesson 12

Module 4 lesson 12

Introduction to proportion

Introduction to proportion

Adding / subtracting dissimilar fractions

Adding / subtracting dissimilar fractions

Comparing fractions (semi detailed)

Comparing fractions (semi detailed)

joyful_learning_of_mathematics

joyful_learning_of_mathematics

4A's Detailed Lesson Plan Grade 2

4A's Detailed Lesson Plan Grade 2

Lesson plan multiplication g.3

Lesson plan multiplication g.3

Mattie Davis Solving equations using algebra tiles edci 557

Mattie Davis Solving equations using algebra tiles edci 557

To be numerate St Joseph's School

To be numerate St Joseph's School

MTAP TL International Convention

This document discusses Singapore Math and teacher preparation. It focuses on the approach of Singapore Math, which emphasizes problem solving, conceptual understanding, and thinking. It outlines the framework for preparing teachers to teach mathematics in this way, which includes having teachers learn content conceptually and the corresponding pedagogical knowledge. Courses in Singapore help teachers develop as learners and observers by giving opportunities to study math lessons.

Grade 5 Math Overview ClassK12

This document provides an overview of the Common Core standards for 5th grade math. It outlines the main topic areas covered, including operations and algebraic thinking, number and operations in base ten, number and operations with fractions, measurement and data, and geometry. For each topic area, it lists the relevant standards and provides an example illustration or question to demonstrate how the standards are applied. The document is intended to give teachers and students an overview of what is covered in 5th grade math based on the Common Core requirements.

Developing Critical Thinking Through Singapore Math

Yeap Ban Har gave this repeat seminar at Keys Grade School to teachers from Filipino schools and parents.

Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...

Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...John Dewey School for Children

The document discusses the need to reform the Philippines' K-12 education system to better prepare students for the 21st century. It notes that the world is changing rapidly due to technology and globalization. However, Philippine students are performing poorly on international assessments in math and science. It also has one of the shortest pre-university programs in Asia. The K-12 reform aims to enhance the basic education curriculum by extending it to 12 years, focusing on competency-based learning, and improving math and science education based on models like Singapore Math. This is to allow Filipino students to better deal with rapid change and solve complex problems.Intro To Singapore Math

This document provides an introduction to Singapore Math. It notes that Singapore students placed top three in international math tests in recent years. It then discusses what the TIMSS test is and provides sample results showing Singapore and other countries' scores. It outlines five factors for Singapore's math success: a sound curriculum, high expectations, subject banding, well-managed schools, and qualified teachers. It also gives overviews of Singapore Math philosophy and methods, including an emphasis on mental math, moving from concrete to abstract understanding, and requiring mastery of basic facts. Sample word problems are presented at the end.

Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...

Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA

Technology + Singapore Math = Number Sense

Powerpoint from a NCTM 2012 National Conference session. Because it was an interactive session, the powerpoint isn't too exciting, but it does have links to most of the online tools and apps that we demonstrated in the session.

Singapore Math Strategies for U.S. Schools

The document provides an overview of Singapore Math strategies that could be used in U.S. schools. It discusses the fundamentals of Singapore Math which include a focus on problem solving, thinking, managing information, visualization, generalization, and number sense. It also discusses how Singapore students have demonstrated high achievement in international math assessments like TIMSS. The pedagogical approach of Singapore Math focuses on understanding over procedural skills. Differentiated instruction and assessment are also emphasized.

Math in Focus: Singapore Math Community Institute (updated)

The document discusses Singapore's approach to mathematics education. It provides background on Singapore as a country and details on its education system, including student and teacher numbers and types of schools. It then discusses the historical development and implementation of Singapore Math, focusing on its emphasis on problem solving and visualization. Several examples of math problems from Singapore textbooks are presented.

Singapore Maths Presentation (Primary 4A Teacher's Guide)

This document outlines the contents and structure of a Singapore maths textbook and workbook for grade 4. It includes a scheme of work, lesson plans, and appendices for each chapter that provide key concepts, activities, and exercises to support math instruction. Additional sections offer thinking skills practices, individual and group work, math journals, and challenges to enhance learning.

Singapore Math - 6B - Answer Key

Singapore Math - 6B - Answer Key

Singapore Math - 5B - Answer Keys

Singapore Math - 5B - Answer Keys

Singapore Math - 5A - Textbook

The document discusses the benefits of exercise for both physical and mental health. It notes that regular exercise can reduce the risk of diseases like heart disease and diabetes, improve mood, and reduce stress and anxiety levels. Exercise is also said to boost brain health and function by improving cognitive abilities and reducing the risk of conditions like Alzheimer's disease and dementia.

Singapore Math - 5B - Textbook

The document discusses the benefits of exercise for both physical and mental health. It notes that regular exercise can reduce the risk of diseases like heart disease and diabetes, improve mood, and reduce feelings of stress and anxiety. Staying active also helps maintain a healthy weight and keeps muscles, bones and joints healthy as we age.

Singapore Math - 4B - Workbook

The document discusses the benefits of exercise for both physical and mental health. Regular exercise can improve cardiovascular health, reduce symptoms of depression and anxiety, enhance mood, and boost brain function. Staying physically active aims to strengthen the body and mind.

Singapore Math - 5B - Workbook

The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercising for at least 30 minutes three times per week is recommended to see positive effects on mental well-being.

Singapore Math - 5A - Workbook

Singapore Math - 5A - Workbook

Singapore Math - 5A - Answer Keys

Singapore Math - 5A - Answer Keys

Singapore Math - 6B - Workbook

Singapore Math - 6B - Workbook

MTAP TL International Convention

MTAP TL International Convention

Grade 5 Math Overview ClassK12

Grade 5 Math Overview ClassK12

Developing Critical Thinking Through Singapore Math

Developing Critical Thinking Through Singapore Math

Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...

Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...

Intro To Singapore Math

Intro To Singapore Math

Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...

Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...

Technology + Singapore Math = Number Sense

Technology + Singapore Math = Number Sense

Singapore Math Strategies for U.S. Schools

Singapore Math Strategies for U.S. Schools

Math in Focus: Singapore Math Community Institute (updated)

Math in Focus: Singapore Math Community Institute (updated)

Singapore Maths Presentation (Primary 4A Teacher's Guide)

Singapore Maths Presentation (Primary 4A Teacher's Guide)

Singapore Math - 6B - Answer Key

Singapore Math - 6B - Answer Key

Singapore Math - 5B - Answer Keys

Singapore Math - 5B - Answer Keys

Singapore Math - 5A - Textbook

Singapore Math - 5A - Textbook

Singapore Math - 5B - Textbook

Singapore Math - 5B - Textbook

Singapore Math - 4B - Workbook

Singapore Math - 4B - Workbook

Singapore Math - 5B - Workbook

Singapore Math - 5B - Workbook

Singapore Math - 5A - Workbook

Singapore Math - 5A - Workbook

Singapore Math - 5A - Answer Keys

Singapore Math - 5A - Answer Keys

Singapore Math - 6B - Workbook

Singapore Math - 6B - Workbook

Grade 5 Lesson

This lesson is on division of a fraction by a whole number, focusing on the meaning of the operation. It was conducted at Spinghurst Elementary in New York.

Mathematics FractionLesson Plan

This lesson plan outlines a week of mathematics instruction focused on adding and subtracting fractions. Day 1 introduces fractions and adding fractions with like denominators. Students use fraction pieces to represent problems and complete workbook exercises. Day 2 covers subtracting fractions with like denominators, using mixed fractions, and more workbook exercises. Day 3 focuses on subtracting mixed numbers. Day 4 teaches subtracting fractions from whole numbers. Day 5 reviews addition and subtraction of fractions through group work and problem solving. The teacher evaluates students each day and plans reinforcement or reteaching as needed based on understanding.

Lesson plan in math

This 3-day lesson plan teaches high school honors geometry students how to determine the distance formula, midpoint formula, and slope formula through problem-solving activities. On day 1, students work in groups to discover the distance formula using the Pythagorean theorem. On day 2, groups present their work and the teacher explains how this relates to the distance formula. Day 3 has students find the midpoint and slope formulas through similar exploration and explanation. The goal is for students to understand these geometric concepts and formulas through hands-on learning experiences.

Oak Lawn Beyond the Basics 01

This document contains information from a presentation on Singapore Math given by Dr. Yeap Ban Har. It includes 6 lessons on various math topics taught using the Singapore Math approach such as multiplication, problem solving, bar modeling, and area of polygons. It emphasizes concepts like visualization, problem solving, conceptual understanding, and differentiated instruction. Contact and biography information is provided for Dr. Yeap Ban Har.

Mcq's on Mathematics Education

1. The document contains 52 multiple choice questions related to mathematics education.
2. The questions cover topics like teaching methods, curriculum, assessment, educational theorists like Bloom and Bruner, and concepts in mathematics.
3. Answer keys are provided for each question to test understanding of core concepts and best practices in mathematics pedagogy.

Chile MOE Seminar English

This is the English version of the presentation at Avancemos en las Matematicas: La Mirada de Singapur

Math teaching approaches that work

The presnetation will highlight ways of effective mathematics teaching and how a teacher can adapt it.

DLL_MATHEMATICS 5_Q1_W2.pdf

The document provides a daily lesson log for a 5th grade mathematics class. It details the objectives, content, procedures, and assessment for a week of lessons on using divisibility rules to find common factors of numbers. The lessons cover divisibility rules for 2, 5, 10, 3, 6, 9, 4, 8, 12, and 11. Students practice applying the rules through drills, group activities, and word problems. Formative assessments evaluate students' mastery of using divisibility rules to determine the factors of given numbers.

blake institute june 2014 complete

This document contains information about a mathematics course taught by Dr. Yeap Ban Har in Singapore, including:
- Contact information for Dr. Yeap Ban Har and background on his experience teaching mathematics.
- An introduction to the Singapore approach to teaching mathematics, which uses Bruner's constructivist theory of a spiral curriculum and the Concrete-Pictorial-Abstract approach.
- Details and case studies for several sessions on topics like early numeracy, addition/subtraction, multiplication/division, fractions, ratio, proportion, and algebra.
- Information on differentiated instruction, assessment, and the use of games, journaling and modeling in mathematics lessons.

Blake Institute June 2014 complete

This document contains information about a mathematics course taught by Dr. Yeap Ban Har in Singapore, including:
- Contact information for Dr. Yeap Ban Har and background on his experience teaching mathematics.
- An introduction to the Singapore approach to teaching mathematics, which uses Bruner's constructivist theory of a spiral curriculum and representations.
- Examples of lesson plans and case studies for teaching various mathematics topics like fractions, ratios, proportions and algebra.
- Discussion of instructional models, differentiated instruction, and holistic assessment approaches in mathematics.
The document provides an overview of the Singapore mathematics teaching methods and includes examples of lessons and assessments that could be used when teaching a variety of math topics.

Seminar at Colegio Inmaculada Conception, Universidad Andres Bello &San Beni...

Pensar sin Limites Seminars
This seminar was held at various places including Colegio Inmaculada in Conception, Universidad Andres Bello in Santiago & San Benito School in Santiago. The seminar explains the pedagogy behind the Spanish edition of My Pals Are Here! Mathematics.

cot 1 4thq.docx

This document outlines a lesson plan for teaching triangle inequalities to 8th grade mathematics students. The teacher will review triangle inequality theorems and have students apply them by solving puzzles at different stations around the school, overcoming challenges related to various subjects at each station. Students will work in groups and present their solutions. The teacher will evaluate students and may provide additional activities for those who need remediation. In reflection, the teacher considers what teaching strategies and activities worked well and how administrators can provide further support.

MATH5_RATIO_2ND QUARTER_LP (Recovered)3-pdf.pdf

The document outlines a daily lesson plan for a Grade 5 mathematics class that focuses on ratios and proportions. It includes objectives, content, learning resources, procedures for engaging students including activities, and explanations of key concepts. The lesson incorporates games, group work, and story problems to help students understand ratios and applying them to real-world situations.

اختلاف التعليم في مهام الرياضيات

أ. جليندا أنتوني
المدير الموازي لمركز الامتياز لبحوث الرياضيات في التعليم. كلية التربية والتعليم, جامعة ماسي.
نيوزيلندا

Better mathematics workshop pack spring 2015: secondary

This document contains information for participants of a secondary mathematics conference workshop. It includes sample mathematics questions, strategies for deepening problems, approaches to teaching different topics, examples of student work and teacher feedback, and templates for recording work scrutiny. The goal is to help teachers improve their practice in developing conceptual understanding, setting challenging problems, and effectively assessing student work.

Rotterdam Day 1

This is part of the professional development for the team that translate My Pals Are Here into Dutch and also people who are going to provide professionald evelopment for teachers using Singapore textbooks in the future.

teaching-math-in-the-Intermediate-grades.pptx

This document provides strategies for teaching numeracy and mathematics. It outlines several objectives, including comprehending the purpose of math education, following the teaching cycle, demonstrating models for planning instruction, and adapting new strategies. The teaching cycle involves identifying objectives, planning instruction, implementing the plan, checking for understanding, and assessing learning. Two common models for lesson planning are also described: ADIDAS and 5E's. Several instructional strategies are explained, including game-based learning, collaboration techniques, and Bansho, a Japanese method focusing on problem-solving.

Innovative teaching manual

The teacher introduced the concept of decimals with never-ending digits to students using flashcards depicting waves, numbers, and the rotation of the earth. Through discussion, students realized these concepts have no end. The teacher then explained decimals with never-ending digits using examples of dividing fractions like 1/3 and 1/6, which result in repeating decimals. Students practiced dividing fractions like 5/11 and were able to write the decimals with repeating digits, showing their understanding of numbers that have no definitive end.

Better mathematics workshop pack spring 2015: primary

This document provides information for participants of a mathematics conference, including example questions, approaches to teaching different topics, and extracts of student work. It discusses identifying and addressing misconceptions, developing conceptual understanding, varying the depth and type of questions asked, and using student work and lessons to check for understanding and inform instruction.

Grade 5 Lesson

Grade 5 Lesson

Mathematics FractionLesson Plan

Mathematics FractionLesson Plan

Lesson plan in math

Lesson plan in math

Oak Lawn Beyond the Basics 01

Oak Lawn Beyond the Basics 01

Mcq's on Mathematics Education

Mcq's on Mathematics Education

Chile MOE Seminar English

Chile MOE Seminar English

Math teaching approaches that work

Math teaching approaches that work

DLL_MATHEMATICS 5_Q1_W2.pdf

DLL_MATHEMATICS 5_Q1_W2.pdf

blake institute june 2014 complete

blake institute june 2014 complete

Blake Institute June 2014 complete

Blake Institute June 2014 complete

Seminar at Colegio Inmaculada Conception, Universidad Andres Bello &San Beni...

Seminar at Colegio Inmaculada Conception, Universidad Andres Bello &San Beni...

cot 1 4thq.docx

cot 1 4thq.docx

MATH5_RATIO_2ND QUARTER_LP (Recovered)3-pdf.pdf

MATH5_RATIO_2ND QUARTER_LP (Recovered)3-pdf.pdf

اختلاف التعليم في مهام الرياضيات

اختلاف التعليم في مهام الرياضيات

Better mathematics workshop pack spring 2015: secondary

Better mathematics workshop pack spring 2015: secondary

Rotterdam Day 1

Rotterdam Day 1

teaching-math-in-the-Intermediate-grades.pptx

teaching-math-in-the-Intermediate-grades.pptx

teaching-math-in-the-intermediate-grades-240204104047-7f32f49b.pptx

teaching-math-in-the-intermediate-grades-240204104047-7f32f49b.pptx

Innovative teaching manual

Innovative teaching manual

Better mathematics workshop pack spring 2015: primary

Better mathematics workshop pack spring 2015: primary

Maths Hub June 2015 Day 1 and Day 2

This document discusses differentiating instruction to challenge advanced learners. It provides examples of ways to assess basic subtraction skills through runway indicators. For advanced learners, it suggests having them solve problems in alternative ways, write stories for equations, or write notes applying math concepts to enrich their learning beyond basic skills.

Primary Mathematics Fractions

Basic Lesson Structure of Singapore Math - anchor task, guided practice and independent practice

PCN Word Problems

Talk for Parents

Blake Grade 6

This document provides an overview of a middle school mathematics institute that will take place on Saturday. It discusses the basic lesson format, which includes an anchor task, guided practice, and independent practice. It also references Bruner's idea of using concrete experiences and pictorial representations to help students understand abstract ideas. The document then provides several case studies as examples of lessons that could be used to develop, apply, and practice various mathematical concepts involving fractions, algebra, geometry, and more.

Blake grade 5

This document provides an overview of a Grade 5 mathematics institute that will take place on a Friday. It outlines the basic lesson format, which includes an anchor task, guided practice, and independent practice. It also references several learning theories that provide a framework for the lesson, such as Bruner's idea of concrete, iconic, and symbolic representations. The document includes several math word problems from past PSLE exams in Singapore to use for practice. It concludes with key learning theories covered and strategies for challenging advanced learners.

Blake Grade 4

1) The document discusses standards and instructional focus areas for Grade 4 mathematics, including multi-digit multiplication and division, fractions, and geometric shapes.
2) It provides examples of case studies to solve, including arranging fractions in order and word problems involving fractions of amounts.
3) Theories of learning and representation discussed include Bruner's CPA approach and Skemp's classifications of understanding in mathematics.

Blake Grade 3

This document provides information about a grade 3 mathematics institute to be held on Wednesday. It discusses key theories in mathematics learning from Piaget, Bruner, Dienes, Vygotsky, and Skemp. The document also provides several case studies with examples of lesson plans and problems that assess different mathematical concepts like operations, fractions, problem solving, and place value.

Blake Grade 2

The document discusses a Grade 2 math institute that will focus on place value using concrete and pictorial representations. It provides several case studies on topics like subtraction across zeros, fractions, and problem solving. The lessons follow a basic format of an anchor task, guided practice, and independent practice. Key learning theories that will be drawn from include those from Piaget, Bruner, Dienes, Vygotsky, and Skemp. Bruner's CPA approach and Skemp's classifications of understanding will be particularly relevant for using different representations to build conceptual and relational understanding.

Blake Grade 1

Participants to Blake School Singapore Math Institute in June 2015 please download and print this set of handouts.

2104 WSU Cutouts

This document contains instructions for cutting out numbers and mathematical symbols from a page. It includes numbers from 0 to 9, basic mathematical operators like + and -, and instructions to cut out the listed items. The document is repetitive, listing the same numbers and symbols twice.

2014 WSU Handouts

The document summarizes discussions from breakout sessions at the 4th Singapore Math Institute on teaching mathematics using Singapore's approach. It provides tasks and problems from Singapore classrooms related to practicing skills through problem-solving, using anchor tasks to structure lessons, and teaching geometry in grades 4-6. The goals are to emulate Singapore's emphasis on problem-solving and multi-step word problems to develop students' mathematical thinking.

2014 WSU Day 2

The document discusses strategies for developing and improving mathematical practices, such as using anchor tasks, collaborative structures, questioning techniques, journals, textbooks for reflection, and focusing on visualization, generalization, and number sense. It also discusses moving from concrete to pictorial to abstract representations, and using anchor tasks and challenging word problems to teach Singapore math concepts.

2014 WSU Day 1 Slides

This document discusses using a problem-solving approach to teach mathematics. It focuses on practicing problem-solving lessons and breaking students into groups to work on problems. The document provides resources for lesson plans and contact information for the speaker who advocates for integrating problem-solving into mathematics education.

Se01 abc's of singapore math through whole numbers

The document discusses the Singapore approach to teaching mathematics, which was developed to help Singaporean students perform better in math. It is based on Bruner's ideas of a spiral curriculum and using representations. The document provides 15 sample math tasks that demonstrate fundamentals of Singapore Math instruction, such as the Concrete-Pictorial-Abstract approach. It also includes quotes from Bruner about revisiting basic ideas repeatedly to help students master structured bodies of knowledge.

Sd09 visualization

This document contains an agenda for a staff development conference on Singapore Math strategies with a focus on visualization. It includes 4 sample math tasks: 1) finding the area of a 4-sided polygon on a geoboard; 2) calculating leftover wire used to make a figure of 6 equilateral triangles; 3) dividing numbers by 3, 4, and 6; and 4) a word problem about Peter and Nancy exchanging coins to determine how many Peter originally had. The tasks are meant to illustrate ways to get students to visualize math concepts.

Sd02 challenge me

The document discusses strategies for differentiated instruction for advanced learners. It focuses on enrichment rather than acceleration. It provides 6 case studies as examples of anchor tasks that can challenge advanced learners in lessons, including problems about number sequences, geometry of rooms and chairs, properties of triangles, and finding sums of hexagon angles. The goal of the session is to explore general strategies for differentiating instruction to meet the needs of advanced students.

Sc02 fraction problems

This document contains a summary of fraction problems that will be covered in the "Let's Solve Them & Enjoy It: Fraction Problems" course at the Singapore Math Strategies National Conference. It outlines 7 fraction problems involving concepts like halves, adding fractions, finding percentages of amounts, and word problems about groups of children leaving a hall. The problems cover a range of skills from representing halves to multi-step word problems involving fractions.

Three-Day Course Day 1

Three-Day Course Day 1

Maths Hub June 2015 Day 1 and Day 2

Maths Hub June 2015 Day 1 and Day 2

Maths Hub Day 1

Maths Hub Day 1

TIMSS Selected

TIMSS Selected

Primary Mathematics Fractions

Primary Mathematics Fractions

PCN Word Problems

PCN Word Problems

Blake Grade 6

Blake Grade 6

Blake grade 5

Blake grade 5

Blake Grade 4

Blake Grade 4

Blake Grade 3

Blake Grade 3

Blake Grade 2

Blake Grade 2

Blake Grade 1

Blake Grade 1

2104 WSU Cutouts

2104 WSU Cutouts

2014 WSU Handouts

2014 WSU Handouts

2014 WSU Day 2

2014 WSU Day 2

2014 WSU Day 1 Slides

2014 WSU Day 1 Slides

Se01 abc's of singapore math through whole numbers

Se01 abc's of singapore math through whole numbers

Sd09 visualization

Sd09 visualization

Sd02 challenge me

Sd02 challenge me

Sc02 fraction problems

Sc02 fraction problems

FIRST AID PRESENTATION ON INDUSTRIAL SAFETY by dr lal.ppt

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Lecture Notes Unit4 Chapter13 users , roles and privileges

Description:
Welcome to the comprehensive guide on Relational Database Management System (RDBMS) concepts, tailored for final year B.Sc. Computer Science students affiliated with Alagappa University. This document covers fundamental principles and advanced topics in RDBMS, offering a structured approach to understanding databases in the context of modern computing. PDF content is prepared from the text book Learn Oracle 8I by JOSE A RAMALHO.
Key Topics Covered:
Main Topic : USERS, Roles and Privileges
In Oracle databases, users are individuals or applications that interact with the database. Each user is assigned specific roles, which are collections of privileges that define their access levels and capabilities. Privileges are permissions granted to users or roles, allowing actions like creating tables, executing procedures, or querying data. Properly managing users, roles, and privileges is essential for maintaining security and ensuring that users have appropriate access to database resources, thus supporting effective data management and integrity within the Oracle environment.
Sub-Topic :
Definition of User, User Creation Commands, Grant Command, Deleting a user, Privileges, System privileges and object privileges, Grant Object Privileges, Viewing a users, Revoke Object Privileges, Creation of Role, Granting privileges and roles to role, View the roles of a user , Deleting a role
Target Audience:
Final year B.Sc. Computer Science students at Alagappa University seeking a solid foundation in RDBMS principles for academic and practical applications.
URL for previous slides
chapter 8,9 and 10 : https://www.slideshare.net/slideshow/lecture_notes_unit4_chapter_8_9_10_rdbms-for-the-students-affiliated-by-alagappa-university/270123800
Chapter 11 Sequence: https://www.slideshare.net/slideshow/sequnces-lecture_notes_unit4_chapter11_sequence/270134792
Chapter 12 View : https://www.slideshare.net/slideshow/rdbms-lecture-notes-unit4-chapter12-view/270199683
About the Author:
Dr. S. Murugan is Associate Professor at Alagappa Government Arts College, Karaikudi. With 23 years of teaching experience in the field of Computer Science, Dr. S. Murugan has a passion for simplifying complex concepts in database management.
Disclaimer:
This document is intended for educational purposes only. The content presented here reflects the author’s understanding in the field of RDBMS as of 2024.

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RDBMS Lecture Notes Unit4 chapter12 VIEW

Description:
Welcome to the comprehensive guide on Relational Database Management System (RDBMS) concepts, tailored for final year B.Sc. Computer Science students affiliated with Alagappa University. This document covers fundamental principles and advanced topics in RDBMS, offering a structured approach to understanding databases in the context of modern computing. PDF content is prepared from the text book Learn Oracle 8I by JOSE A RAMALHO.
Key Topics Covered:
Main Topic : VIEW
Sub-Topic :
View Definition, Advantages and disadvantages, View Creation Syntax, View creation based on single table, view creation based on multiple table, Deleting View and View the definition of view
Target Audience:
Final year B.Sc. Computer Science students at Alagappa University seeking a solid foundation in RDBMS principles for academic and practical applications.
Previous Slides Link:
1. Data Integrity, Index, TAble Creation and maintenance https://www.slideshare.net/slideshow/lecture_notes_unit4_chapter_8_9_10_rdbms-for-the-students-affiliated-by-alagappa-university/270123800
2. Sequences : https://www.slideshare.net/slideshow/sequnces-lecture_notes_unit4_chapter11_sequence/270134792
About the Author:
Dr. S. Murugan is Associate Professor at Alagappa Government Arts College, Karaikudi. With 23 years of teaching experience in the field of Computer Science, Dr. S. Murugan has a passion for simplifying complex concepts in database management.
Disclaimer:
This document is intended for educational purposes only. The content presented here reflects the author’s understanding in the field of RDBMS as of 2024.

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- 1. Singapore Math in Rotterdam 3Opleiding Singapore rekenspecialistThis set of slides cover two presentations made on the final day:The Spiral Curriculum
- 2. Enrichment LessonsDe structuur van het curriculum onderzoeken en begrijpen hoe de rekenconceptenzorgvuldig op elkaaraansluiten.Weten hoe verrijking is onderbracht in het programma en hoe betrokkenheid van leerlingenwordtvergroot door gebruiktemaken van activiteitengericht op exploratie, onderzoek, leren door tedoen, interactie, reflectie en meer.
- 3. Singapore Math in Rotterdam 3Opleiding Singapore rekenspecialistReview of Day 2 and Going AheadLet’s solve another problem using the model method. Today our focus is on fractions and area and use these to study the idea of the spiral curriculum. We will also look at some enrichment lessons.
- 4. Materials developed by Poon Yain Ping
- 5. Materials developed by Poon Yain Ping
- 6. MrsHoon made some cookies to sell. of them were chocolate cookies and the rest were almond cookies. After selling 210 almond cookies and of the chocolate cookies, she has of the cookies left.How many cookies did MrsHoon sell? 210
- 7. MrsHoon made some cookies to sell. of them were chocolate cookies and the rest were almond cookies. After selling 210 almond cookies and of the chocolate cookies, she has of the cookies left.How many cookies did MrsHoon sell? 210MrsHoon sold 960 cookies.
- 9. The Spiral ApproachYeap Ban Har, Ph.D.Marshall Cavendish InstituteSingaporebanhar@sg.marshallcavendish.com
- 10. The Process of Education“A curriculum as it develops should revisit this basic ideas repeatedly, building upon them until the student had grasped the full formal apparatus that goes with them.”Bruner 1960
- 11. Adding & Subtracting FractionsThis is learned over a period of four years – from grade two to grade five. This is an example of the spiral approach adopted in the Singapore curriculum. It is not up to textbook authors. It is based on the national curriculum.
- 25. Key Ideas in FractionsHow are these taught? Let’s take a look.
- 28. Fraction is introduced in Grade 2.Why are the terms numerator and denominator introduced only in Grade 3?Can you explain this using one of the theoretical underpinnings of Singapore Math?
- 33. Please prepare a set of digits 0 to 9 for the activities.
- 34. x
- 38. Scarsdale Middle School New York
- 39. The Anchor Problem – to make a correct division sentence using one set of digit tiles 0 to 9. Why do you think the teacher provided the restriction of not repeating any of the digits?
- 40. Students were given time to make some sentences on their own. It was evident that the students were already familiar with the algorithm. The purpose of this lesson was for students to make sense of the algorithm. Three approaches were used by the students.
- 41. First, the teacher wanted to discuss an incorrect use of notation. One pair has thought that 2/0 = 2 and made the sentence8/4 ÷ 1 = 2/0This example is interesting because it involves the idea of division by 1 which results in the two fractions being equal.It was agreed that 8/4 = 2 and that the right-hand side is equal to 2.Other students offered that 2 can also be written as 2/1 and, incorrectly 2 (2/0). The teacher explained that 2/0 is not 1. 2/1 is. And that division by zero is not defined.Subsequently, students offered the right-hand side can be 4/2 and 6/3. 4/2 was rejected because they realized the condition of the problem – no repetition of digits.
- 42. The first explanation a student gave for the algorithm is the fact that 2 fourths shared equally by 3 is equal to each getting 1/3 of 2 fourths. The second explanation was based on the idea of division of whole numbers. If 2 divided by 2 is 1 then 2 fourths divided by 2 is 1 fourth. If 4 divided by 2 is 2 then 4 fourths divided by 2 is 2 fourths. The rest of the lesson was focused on the whole class grasping these two ideas.
- 43. In discussing the other responses forwarded by the students, the teacher challenged the students to use the second method to explained cases such as 8 fourths divided by 6 where 8 is not divisible by 6.In the case of ¾ divided by 8, students were able to suggest changing the numerator to 24, writing ¾ as 24/32 before dividing by 8 since 24 is divisible by 8.
- 44. The third approach used was the bar model that the students have become familiar with. The teacher was pleased that a student who seemed unsure of himself found his voice to explain to the class why 1/5 ÷ 4 = 1/20. The lesson ended with students reflecting on the methods used to explain division of a fraction by a whole number.
- 48. Think of two digits. Use the digits to make two numbers. First, the first digit be the tens and second digit be the ones. So if you think of 4 and 5, the number is 45 (not 54). Then, add the digits to make a second number. So 4 and 5 make 9. Finally find the difference between the two numbers (45 and 9).
- 50. TIMSS 2007 EuropeTrends in International Mathematics and Science StudiesLatviaEnglandRussiaKazakhstanLithuaniaHungaryArmeniaDenmarkNetherlandsGermanyItalyGrade 4Advanced1116161910987766High4448485242352836423729Intermediate8181798177676076847867Low9795949594888495989691
- 51. TIMSS 2007 EuropeTrends in International Mathematics and Science StudiesSloveniaSlovak RepScotlandInternationalAustriaSwedenUkraineCzech RepNorwayGeorgiaSingaporeGrade 4Advanced345533222141High2525262626241719151074Intermediate6762636769685059523592Low9288889093937988836798
- 52. TIMSS 2007 EuropeTrends in International Mathematics and Science StudiesLatviaEnglandRussiaKazakhstanLithuaniaHungaryArmeniaDenmarkNetherlandsGermanyItalyGrade 4Advanced1116161910987766High4448485242352836423729Intermediate8181798177676076847867Low9795949594888495989691
- 53. TIMSS 2007 EuropeTrends in International Mathematics and Science StudiesLatviaEnglandRussiaKazakhstanLithuaniaHungaryArmeniaDenmarkNetherlandsGermanyItalyGrade 4Advanced1116161910987766High4448485242352836423729Intermediate8181798177676076847867Low9795949594888495989691