Singapore Math focuses on using visuals and concrete experiences to teach mathematics. It emphasizes understanding why procedures work, not just knowing how. The approach was introduced in Singapore in the 1980s and has since spread internationally. Research shows Singapore students performing at the top levels in international math assessments from the 1960s to present. They also report higher enjoyment and preference for mathematics compared to international averages.
The document is a seminar for parents about helping children learn mathematics. It discusses how Singapore math focuses on using visuals and concrete experiences to teach mathematical concepts and problem solving. It provides examples of how Singapore math techniques are being used in classrooms around the world.
This document provides an overview of a seminar for parents on what children learn in mathematics. It begins with background on Singapore's economic growth and education system. Graphs show Singapore and other Asian countries scoring highly on international math tests. The introduction of the Singapore math textbooks in 1982 and a problem-solving curriculum in 1992 are noted as factors in its success. Data shows Singapore students outperforming peers on PISA exams. The seminar highlights how Singapore Math focuses on using visuals and concrete experiences to teach concepts. It provides examples from schools in different countries of how they use Singapore Math approaches to teach fractions, word problems, and other topics.
The document discusses the Model Method, an instructional approach for upper primary students. It provides examples of word problems modeled with bars or arrays to represent the relationships and operations in the problems. The examples demonstrate modeling problems for up to 8 days to help average students, and using algebra to model problems for 3-4 days for advanced students. It also discusses using differentiated instructional strategies and modeling techniques for struggling learners.
This document discusses Singapore Math and its effectiveness in developing students' thinking skills. Singapore Math focuses on problem-solving, conceptual understanding, pattern recognition, and metacognition. It is implemented in classrooms through anchor tasks, guided practice, assessment, differentiation, and independent practice. The curriculum emphasizes number sense, visualization, and managing information to build students' thinking abilities.
Seminar for Parents of Kindergarten Children Jimmy Keng
The document advertises mathematics courses conducted by the Marshall Cavendish Institute in Singapore for parents and tutors. The courses are held over four Saturdays in July through October for three different age groups (P1/2, P3/4, P5/6). Each course has a maximum of 40 participants and is held at the Civil Service College in Buona Vista. Contact details are provided for registration.
Yeap Ban Har gave the Opening Keynote and the Closing Keynote on the first day. He also taught one Core Elective on using bar models to solve challenging problems.
New Jersey Singapore Math Administrators Symposium East BrunswickJimmy Keng
The document provides an overview of Singapore's education system and approach to teaching mathematics. It notes that Singapore has around 500,000 students, 30,000 teachers, and 173 primary and 155 secondary schools. It describes how Singapore places a strong emphasis on problem solving in mathematics and uses a spiral curriculum approach with concrete, visual, and conceptual experiences to build understanding. Textbooks introduce concepts through visual representations before using formal terms.
The document is a seminar for parents about helping children learn mathematics. It discusses how Singapore math focuses on using visuals and concrete experiences to teach mathematical concepts and problem solving. It provides examples of how Singapore math techniques are being used in classrooms around the world.
This document provides an overview of a seminar for parents on what children learn in mathematics. It begins with background on Singapore's economic growth and education system. Graphs show Singapore and other Asian countries scoring highly on international math tests. The introduction of the Singapore math textbooks in 1982 and a problem-solving curriculum in 1992 are noted as factors in its success. Data shows Singapore students outperforming peers on PISA exams. The seminar highlights how Singapore Math focuses on using visuals and concrete experiences to teach concepts. It provides examples from schools in different countries of how they use Singapore Math approaches to teach fractions, word problems, and other topics.
The document discusses the Model Method, an instructional approach for upper primary students. It provides examples of word problems modeled with bars or arrays to represent the relationships and operations in the problems. The examples demonstrate modeling problems for up to 8 days to help average students, and using algebra to model problems for 3-4 days for advanced students. It also discusses using differentiated instructional strategies and modeling techniques for struggling learners.
This document discusses Singapore Math and its effectiveness in developing students' thinking skills. Singapore Math focuses on problem-solving, conceptual understanding, pattern recognition, and metacognition. It is implemented in classrooms through anchor tasks, guided practice, assessment, differentiation, and independent practice. The curriculum emphasizes number sense, visualization, and managing information to build students' thinking abilities.
Seminar for Parents of Kindergarten Children Jimmy Keng
The document advertises mathematics courses conducted by the Marshall Cavendish Institute in Singapore for parents and tutors. The courses are held over four Saturdays in July through October for three different age groups (P1/2, P3/4, P5/6). Each course has a maximum of 40 participants and is held at the Civil Service College in Buona Vista. Contact details are provided for registration.
Yeap Ban Har gave the Opening Keynote and the Closing Keynote on the first day. He also taught one Core Elective on using bar models to solve challenging problems.
New Jersey Singapore Math Administrators Symposium East BrunswickJimmy Keng
The document provides an overview of Singapore's education system and approach to teaching mathematics. It notes that Singapore has around 500,000 students, 30,000 teachers, and 173 primary and 155 secondary schools. It describes how Singapore places a strong emphasis on problem solving in mathematics and uses a spiral curriculum approach with concrete, visual, and conceptual experiences to build understanding. Textbooks introduce concepts through visual representations before using formal terms.
Education Summit Utrecht, The NetherlandsJimmy Keng
The document discusses the Singapore approach to education, which emphasizes problem-solving, higher-order thinking skills, and using a concrete-pictorial-abstract approach to teaching mathematics. It provides examples of how schools in other countries have implemented aspects of the Singapore method, such as using visualization and extended discussion to engage students. The approach has been shown to lead to high achievement on international tests.
Houston Beyond the Basics Advanced Institute Day 1Jimmy Keng
This document summarizes key points from a presentation on Singapore Math. It discusses 7 lessons that focus on conceptual understanding, problem solving, and visual representations. The lessons cover topics like multiplication facts, multi-digit multiplication, setting up bar models, and using diagrams to solve equations. Singapore Math emphasizes thinking, visualization, and anchoring lessons around extended problems.
Here are some tips for improving problem solving skills in PSLE Mathematics:
- Take time to understand the question fully before attempting to solve it. Re-read if needed.
- Look for key information like numbers, operations, shapes etc and think about how they might be related.
- Draw diagrams or make lists when working with multiple steps, relationships or parts. This helps organize your thinking.
- Estimate answers before calculating to check if your working makes sense.
- Check your work - go back and ensure steps are correct and you have not made computational errors.
- Practice explaining your reasoning and showing your working, as this helps develop logical thinking skills.
- Review incorrect or challenging questions again later
This document provides an overview of a professional development workshop on the Singapore Math method. It discusses key aspects of Singapore Math including its emphasis on visualization, problem solving, and pattern recognition. Examples are provided from Singapore math textbooks to illustrate how concepts like addition, multiplication, and calculating area are taught with a focus on visual models and representations. The document also shares information on the history and revisions of the Singapore math curriculum and textbooks over time.
Highline Session 3 at Parkside ElementaryJimmy Keng
The document summarizes key aspects of the Singapore Math approach used in Singaporean schools. It discusses the Concrete-Pictorial-Abstract (CPA) approach, the spiral curriculum, and emphasis on developing relational understanding. It provides examples of how these concepts are implemented in Singapore Math lessons and notes Singapore's high performance on international math assessments.
MAP101 Fundamentals of Singapore Mathematics Curriculum Jimmy Keng
This document provides an overview of Singapore's education system and the use of Singapore Math. It notes that Singapore has about 500,000 students, 30,000 teachers, and 173 primary schools. It highlights Singapore's high performance on international tests in literacy, science and math since the 1960s. The document discusses the introduction and evolution of Singapore Math textbooks from 1982 to the present. It emphasizes the focus of Singapore Math on relational understanding, conceptual development, number sense, and visualization skills. Examples from Singapore, US, UK, Chile and the Philippines illustrate how these concepts are taught.
Math in Focus: Singapore Math Community Institute (updated) Jimmy Keng
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.
Helping Lower Primary Children in MathematicsJimmy Keng
This document presents examples of learning math in a fun and effective way. It includes 7 examples of math word problems and activities involving ratios, number comparisons, story problems, visualization, and tangrams. The goal is to emphasize learning math through patterns, generalization, and hands-on activities. Schools from several countries are mentioned as places where these engaging math teaching methods can be applied.
Experiencing Singapore Math is an one-day executive program to give participants an overview of Singapore Math. It is based on MAP101 Fundamentals of Singapore Math that teachers do as part of their professional development in teaching Singapore Math. More than fifty Missouri educators participated in this one-day institute.
This document summarizes the keynote presentation "Connecting Singapore Math to Common Core State Standards" by Yeap Ban Har. The presentation focused on the alignment between Singapore mathematics and the Common Core State Standards in terms of big ideas and basic philosophy, while noting some differences in details. It provided examples from Singapore primary schools that illustrated key Singapore math concepts like conceptual understanding, problem solving thinking, part-whole situations, change situations, and comparison situations. The examples demonstrated how Singapore lessons begin with concrete examples and move towards more abstract representations.
This document provides information about Singapore Math, a mathematics program used in Singapore schools. It discusses the introduction and evolution of Singapore Math textbooks and curricula from 1982 to 1997. It also notes that Singapore places an emphasis on mathematics as a way to develop intellectual competence. The document outlines some key features of a Singapore Math lesson, including prolonged engagement with anchor tasks, using Bruner's spiral approach, working in groups based on Vygotsky's theories, and applying Polya's problem-solving methods. Charts show that Singapore students significantly outperform international averages on mathematics assessments. The summary concludes that Singapore Math focuses on visuals, concrete experiences, and understanding concepts rather than just procedures.
The document is a presentation about Singapore Mathematics. It provides an overview of Singapore's education system and curriculum. It then discusses key aspects of Singapore Math, including its focus on thinking, visualization, problem solving, conceptual understanding, learning new concepts through problem solving, and drill-and-practice through problem solving. Several examples of Singapore Math problems and methods are also presented.
2nd Singapore Math Institute Plenary 2 Day 1Jimmy Keng
The document discusses preparing children for a future driven by globalization and technological advancement through developing a range of competencies in the three-part lesson format of whole-class problem solving, guided practice, and independent practice. It also provides examples of math word problems and their solutions.
Balancing Higher-order Thinking and Basic Skills - Video StudyJimmy Keng
This 3-sentence summary provides the high-level information from the document:
The document discusses a closing session from Day 2 of a conference that focused on balancing higher-order thinking with basic skills in mathematics lessons. Videos were shown from Singapore classrooms demonstrating lessons that emphasized problem-solving, conceptual understanding, and breaking down multi-digit division problems. The document notes observations made about the Singapore lessons and questions posed about how often students learn tricks and strategies in math.
The document discusses the principles of a strong mathematics programme, including ensuring the weakest, average, and advanced students are appropriately challenged. It advocates focusing on intellectual abilities like visualization and number sense, as well as 21st century skills. Specific techniques mentioned that help achieve this include using visuals, making meaning, and providing careful variation. High achievement in Singapore's math programme has increased over time.
The document summarizes lessons from a workshop on the Singapore Math approach held at St Edward's School in Florida. It provides an overview of the Singapore education system and curriculum. It then summarizes 5 lessons that were observed which demonstrate the Singapore Math approach of using visual models and thinking strategies to teach basic math concepts and solve word problems. The lessons focused on multiplication facts, bar modeling techniques, and differentiated instruction strategies to help struggling students.
This document discusses strategies for helping struggling learners with math. It recommends using a concrete-pictorial-abstract approach where students first engage with hands-on materials, then visual representations, and finally abstract symbols. This allows students to review fundamentals as new topics are introduced. It also stresses the importance of ensuring students can read, comprehend, select the right strategy, and make sense of word problems involving math concepts. Sample word problems and their step-by-step solutions are provided as examples. The document shares experiences from various schools in Singapore and London that have implemented these approaches successfully.
Singapore Math Administrators Symposium ScottsdaleJimmy Keng
The document discusses Singapore Math and how its approach to teaching mathematics concepts concretely first before building conceptual understanding has led to high performance on international tests. It provides examples of Singapore Math textbooks and curricula being used in schools in Singapore as well as other countries. The document emphasizes teaching mathematics visually and using variation and spiral progression to reinforce concepts.
Singapore Math Seminar at Minneapolis MNJimmy Keng
This seminar for about 400 teachers was held at Elk River High School. It is based on MAP101 Fundamentals of Singapore Math. A similar session was held in Chicago the next day. This is part of the Experiencing Singapore Math Program designed for administrators and teachers who are new to Singapore Math.
The Singapore education approach emphasizes high achievement through problem-solving lessons and the concrete-pictorial-abstract teaching method. It has led to top scores in international tests. The approach uses extended discussions, multiple representations of concepts, and a focus on higher-order thinking skills like visualization. It has been successfully implemented in schools globally.
Education Summit Utrecht, The NetherlandsJimmy Keng
The document discusses the Singapore approach to education, which emphasizes problem-solving, higher-order thinking skills, and using a concrete-pictorial-abstract approach to teaching mathematics. It provides examples of how schools in other countries have implemented aspects of the Singapore method, such as using visualization and extended discussion to engage students. The approach has been shown to lead to high achievement on international tests.
Houston Beyond the Basics Advanced Institute Day 1Jimmy Keng
This document summarizes key points from a presentation on Singapore Math. It discusses 7 lessons that focus on conceptual understanding, problem solving, and visual representations. The lessons cover topics like multiplication facts, multi-digit multiplication, setting up bar models, and using diagrams to solve equations. Singapore Math emphasizes thinking, visualization, and anchoring lessons around extended problems.
Here are some tips for improving problem solving skills in PSLE Mathematics:
- Take time to understand the question fully before attempting to solve it. Re-read if needed.
- Look for key information like numbers, operations, shapes etc and think about how they might be related.
- Draw diagrams or make lists when working with multiple steps, relationships or parts. This helps organize your thinking.
- Estimate answers before calculating to check if your working makes sense.
- Check your work - go back and ensure steps are correct and you have not made computational errors.
- Practice explaining your reasoning and showing your working, as this helps develop logical thinking skills.
- Review incorrect or challenging questions again later
This document provides an overview of a professional development workshop on the Singapore Math method. It discusses key aspects of Singapore Math including its emphasis on visualization, problem solving, and pattern recognition. Examples are provided from Singapore math textbooks to illustrate how concepts like addition, multiplication, and calculating area are taught with a focus on visual models and representations. The document also shares information on the history and revisions of the Singapore math curriculum and textbooks over time.
Highline Session 3 at Parkside ElementaryJimmy Keng
The document summarizes key aspects of the Singapore Math approach used in Singaporean schools. It discusses the Concrete-Pictorial-Abstract (CPA) approach, the spiral curriculum, and emphasis on developing relational understanding. It provides examples of how these concepts are implemented in Singapore Math lessons and notes Singapore's high performance on international math assessments.
MAP101 Fundamentals of Singapore Mathematics Curriculum Jimmy Keng
This document provides an overview of Singapore's education system and the use of Singapore Math. It notes that Singapore has about 500,000 students, 30,000 teachers, and 173 primary schools. It highlights Singapore's high performance on international tests in literacy, science and math since the 1960s. The document discusses the introduction and evolution of Singapore Math textbooks from 1982 to the present. It emphasizes the focus of Singapore Math on relational understanding, conceptual development, number sense, and visualization skills. Examples from Singapore, US, UK, Chile and the Philippines illustrate how these concepts are taught.
Math in Focus: Singapore Math Community Institute (updated) Jimmy Keng
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.
Helping Lower Primary Children in MathematicsJimmy Keng
This document presents examples of learning math in a fun and effective way. It includes 7 examples of math word problems and activities involving ratios, number comparisons, story problems, visualization, and tangrams. The goal is to emphasize learning math through patterns, generalization, and hands-on activities. Schools from several countries are mentioned as places where these engaging math teaching methods can be applied.
Experiencing Singapore Math is an one-day executive program to give participants an overview of Singapore Math. It is based on MAP101 Fundamentals of Singapore Math that teachers do as part of their professional development in teaching Singapore Math. More than fifty Missouri educators participated in this one-day institute.
This document summarizes the keynote presentation "Connecting Singapore Math to Common Core State Standards" by Yeap Ban Har. The presentation focused on the alignment between Singapore mathematics and the Common Core State Standards in terms of big ideas and basic philosophy, while noting some differences in details. It provided examples from Singapore primary schools that illustrated key Singapore math concepts like conceptual understanding, problem solving thinking, part-whole situations, change situations, and comparison situations. The examples demonstrated how Singapore lessons begin with concrete examples and move towards more abstract representations.
This document provides information about Singapore Math, a mathematics program used in Singapore schools. It discusses the introduction and evolution of Singapore Math textbooks and curricula from 1982 to 1997. It also notes that Singapore places an emphasis on mathematics as a way to develop intellectual competence. The document outlines some key features of a Singapore Math lesson, including prolonged engagement with anchor tasks, using Bruner's spiral approach, working in groups based on Vygotsky's theories, and applying Polya's problem-solving methods. Charts show that Singapore students significantly outperform international averages on mathematics assessments. The summary concludes that Singapore Math focuses on visuals, concrete experiences, and understanding concepts rather than just procedures.
The document is a presentation about Singapore Mathematics. It provides an overview of Singapore's education system and curriculum. It then discusses key aspects of Singapore Math, including its focus on thinking, visualization, problem solving, conceptual understanding, learning new concepts through problem solving, and drill-and-practice through problem solving. Several examples of Singapore Math problems and methods are also presented.
2nd Singapore Math Institute Plenary 2 Day 1Jimmy Keng
The document discusses preparing children for a future driven by globalization and technological advancement through developing a range of competencies in the three-part lesson format of whole-class problem solving, guided practice, and independent practice. It also provides examples of math word problems and their solutions.
Balancing Higher-order Thinking and Basic Skills - Video StudyJimmy Keng
This 3-sentence summary provides the high-level information from the document:
The document discusses a closing session from Day 2 of a conference that focused on balancing higher-order thinking with basic skills in mathematics lessons. Videos were shown from Singapore classrooms demonstrating lessons that emphasized problem-solving, conceptual understanding, and breaking down multi-digit division problems. The document notes observations made about the Singapore lessons and questions posed about how often students learn tricks and strategies in math.
The document discusses the principles of a strong mathematics programme, including ensuring the weakest, average, and advanced students are appropriately challenged. It advocates focusing on intellectual abilities like visualization and number sense, as well as 21st century skills. Specific techniques mentioned that help achieve this include using visuals, making meaning, and providing careful variation. High achievement in Singapore's math programme has increased over time.
The document summarizes lessons from a workshop on the Singapore Math approach held at St Edward's School in Florida. It provides an overview of the Singapore education system and curriculum. It then summarizes 5 lessons that were observed which demonstrate the Singapore Math approach of using visual models and thinking strategies to teach basic math concepts and solve word problems. The lessons focused on multiplication facts, bar modeling techniques, and differentiated instruction strategies to help struggling students.
This document discusses strategies for helping struggling learners with math. It recommends using a concrete-pictorial-abstract approach where students first engage with hands-on materials, then visual representations, and finally abstract symbols. This allows students to review fundamentals as new topics are introduced. It also stresses the importance of ensuring students can read, comprehend, select the right strategy, and make sense of word problems involving math concepts. Sample word problems and their step-by-step solutions are provided as examples. The document shares experiences from various schools in Singapore and London that have implemented these approaches successfully.
Singapore Math Administrators Symposium ScottsdaleJimmy Keng
The document discusses Singapore Math and how its approach to teaching mathematics concepts concretely first before building conceptual understanding has led to high performance on international tests. It provides examples of Singapore Math textbooks and curricula being used in schools in Singapore as well as other countries. The document emphasizes teaching mathematics visually and using variation and spiral progression to reinforce concepts.
Singapore Math Seminar at Minneapolis MNJimmy Keng
This seminar for about 400 teachers was held at Elk River High School. It is based on MAP101 Fundamentals of Singapore Math. A similar session was held in Chicago the next day. This is part of the Experiencing Singapore Math Program designed for administrators and teachers who are new to Singapore Math.
The Singapore education approach emphasizes high achievement through problem-solving lessons and the concrete-pictorial-abstract teaching method. It has led to top scores in international tests. The approach uses extended discussions, multiple representations of concepts, and a focus on higher-order thinking skills like visualization. It has been successfully implemented in schools globally.
Singapore Math at Edgemont School District New YorkJimmy Keng
This document provides an overview of a professional development day for the Edgemont Union Free School District on the fundamentals of Singapore Math. The day included presentations and workshops on key aspects of the Singapore Math approach like the Concrete-Pictorial-Abstract method and its emphasis on problem solving, thinking, and visualization. Sessions also demonstrated how to incorporate differentiated instruction and anchor tasks, guided practice, and independent practice. The document shares international assessment data showing Singapore students performing highly in mathematics compared to other countries.
The document summarizes key aspects of the Singapore Math approach used in Singapore and some schools in the United States. It discusses the Concrete-Pictorial-Abstract approach, the spiral curriculum, three-part lesson structure, emphasis on relational understanding, and data showing Singapore students outperforming peers internationally and enjoying math more.
The document discusses Singapore Math, which focuses on developing conceptual understanding using a concrete-pictorial-abstract approach. It emphasizes problem solving, the spiral curriculum where topics are revisited at increasing levels of difficulty, and three-part lesson structures involving exploration, concept introduction, and guided practice. International test data shows Singapore students performing highly in mathematics compared to other countries.
The document is a slide presentation on mathematics learning in Singapore given by Yeap Ban Har from the Marshall Cavendish Institute in Singapore. It discusses Singapore's history of improving mathematics education over time, from achieving low passing rates on early exams to consistently high performance on international tests. It also describes Singapore's focus on visual and concrete learning approaches, as well as the country's emphasis on developing intellectual competence through mathematics.
The document discusses Singapore's approach to improving math instruction and performance. It outlines Singapore's curriculum framework which is revised every six years and emphasizes mathematical modeling. It also discusses strategies used like aligning textbooks to the curriculum, providing leadership support, and utilizing research-backed pedagogies in professional development programs for teachers that focus on developing skills as a learner, observer, and reflective practitioner. International test results show Singapore and other Asian countries achieving top scores in mathematics over several decades.
The document discusses Singapore's approach to mathematics education, with a focus on promoting critical and creative thinking. It provides examples of Singapore math lessons, textbooks, and assessments. It also discusses key aspects of Singapore math like the Concrete-Pictorial-Abstract approach, the spiral curriculum, and emphasis on relational understanding. The presentation highlights the importance of teacher preparation, development, and leadership to successful implementation of Singapore math.
This document provides a summary of a presentation on surviving math given by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore. The presentation included slides available on Facebook and discussed shifts in math test questions over time towards requiring more conceptual understanding. It also showed sample math problems and performance data from Primary 4 students in Singapore on TIMSS tests. The document lists the speaker, location, contact information and source of additional slides.
The document announces an international education seminar on January 4th 2012 in Singapore to introduce the Singapore method for teaching mathematics. The seminar will be led by Dr. Yeap Ban Har and will include presentations and workshops on the basic theories and models used in the Singapore approach, such as the bar model for problem solving. A schedule and contact information is provided for those interested in learning more about the Singapore math teaching method.
NCTM Differentiated Instruction Using Singapore Math Jimmy Keng
This document summarizes a workshop on differentiated instruction using Singapore Math. The workshop is presented by Dr. Yeap Ban Har and teaches how to differentiate math tasks to cater to mixed-ability classes. It explains how Singapore Math is designed to enable all learners to learn mathematics well through adequate scaffolding for struggling learners and extending tasks to engage advanced learners. The workshop also provides examples of differentiating word problems and using the Singapore Math approach of solving one math problem during a lesson.
This document provides an overview of Singapore's education system and experiences with Singapore Math. It discusses Singapore's small land area but high GDP per capita. It notes there are around 500,000 students, 30,000 teachers, and 173 primary and 155 secondary schools. It also discusses Singapore's high performance on international math tests and how Singapore Math was introduced and revised over time with an emphasis on conceptual understanding and problem solving.
The document discusses Singapore's education system and experiences with Singapore Math. It provides statistics on students, teachers, schools and academic performance in Singapore. It traces the history and development of Singapore Math textbooks from 1982 to present. It emphasizes the importance of conceptual understanding, number sense, visualization and higher-order thinking in Singapore Math. Examples from Primary Mathematics textbooks show how visuals are used to teach concepts like distributive property without formal terms.
This is a one-day course on Essentials of Singapore Maths which is equivalent to MAP101 Fundamentals of Singapore Mathematics. About 60 participants attended this session.
Bendermeer Primary School Seminar for ParentsJimmy Keng
This document provides an overview of a presentation on helping children with primary mathematics. It discusses how mathematics can develop intellectual competence and reflects on shifts in test questions to require more conceptual understanding and real-world problem solving over rote algorithms. Examples of math questions and lessons from various primary grades in Singapore, the US, UK, Netherlands and Japan are presented, covering topics like number sense, patterns, problem solving and visual models. Key competencies and strategies for problem solving are discussed.
This was the presentation for parents made at Anglo Singapore International School in Thailand. It is a school in Bangkok that teaches the Singapore curriculum in all subjects.
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.
The document discusses using math journals in elementary school classrooms to teach mathematical concepts. It describes a framework for teaching mastery that involves anchor tasks, guided practice, and independent practice. Journaling is presented as one part of this process where students explore concepts, structure their understanding, and reflect on their learning. Examples are provided of kindergarteners recording number bonds in their journals to master basic counting and addition. The journal entries allow teachers to assess understanding and provide differentiated instruction.
The document outlines a schedule for four sessions occurring between 08:30-04:00 with a forum period from 03:30-04:00. It then discusses using a lesson on the Common Core to understand critical areas for Grade 1, including number bonds, comparison of numbers, and conservation of numbers. Various methods for developing visualization like the CPA approach, bar models, and teacher questioning are listed. The document goes on to discuss elements of effective math lessons including exploration, structure, journaling, reflection, and guided/independent practice using addition and subtraction strategies like counting all, making 10, subtracting from ten, and renaming before subtracting with examples provided.
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.
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.
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.
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.
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.
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.
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.
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.
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 numbersJimmy Keng
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.
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.
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This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
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it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
1. Singapore Math
a program for parents
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
2.
3. Land
270 sq miles
700 sq km
introduction People
5.3 million
GDP per capita
1965 USD500
2011 USD50 000
Junyuan Secondary School, Singapore in current USD
4. why do we teach
mathematics this way
Greenridge Primary School, Singapore
5.
6. Mathematics is “an excellent
vehicle for the development and
improvement of a person’s
intellectual competence”.
1982 Ministry of Education Singapore 2006
Introduction of Singapore mathematics
textbooks as they are known today.
1992
Introduction of Problem-
Solving Curriculum
1997
Thinking Schools
Learning Nation
7.
8.
9. Singapore Math focuses on
the use of visuals and initial
concrete experiences. The
emphasis is not just knowing
how but also knowing why.
24. 3
A number is of a second number.
5
The sum of the two numbers is 120.
King Solomon Academy, London UK
25. 3
A number is of a second number.
5
The sum of the two numbers is 120.
120
8 units = 120 80 40
1 units = 120 8
1 units = 15
The smaller number is 3 x 15 = 45.
The larger number is 5 x 15 = 75.
26. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
Edgewood Elementary School, New York
27. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
Box C 20 116
Box A
Box B
28. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
Box C 24 20 116 – 20 = 116 – 16 – 4 = 96
4 units = 96
4 units = 80 + 16
Box A 24
1 units = 96 4 =
Box B 24 24 Box A ….
34. Singapore Math allows
average learners perform at
a high level. The following
are some data from some
international research on
math achievement and
attitude.
35. All major international tests (literacy, science and mathematics) between 1964 and
2003 were placed on a common scale. Selected countries shown in the table.
Score 1960-1970s 1980s 1990s 2000s
500 Japan Hong Kong Hong Kong Hong Kong
Japan Japan Japan
Korea Korea Korea
Singapore Singapore
400 Thailand The Philippines Malaysia Malaysia
Singapore Thailand Thailand
Thailand
300 Indonesia Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
37. ave adv high int low
Singapore 606 43 78 94 99
South Korea 605 39 80 97 100
Hong Kong 602 37 80 96 99
grade four mathematics
Taiwan 591 34 74 93 99
Japan 585 30 70 93 99
Northern Ireland 562 24 59 86 96
Belgium 549 10 50 89 99
Finland 545 12 49 85 98
England 542 18 49 78 93
Russia 542 13 47 82 97
United States 541 13 47 81 96
International 500 4 28 69 90
38. intermediate
advanced
high
low
average
South Korea 613 47 77 93 99
Singapore 611 48 78 92 99
grade eight mathematics
Taiwan 609 49 73 88 96
Hong Kong 586 34 71 89 97
Japan 570 27 61 87 97
Russia 539 14 47 78 95
Israel 516 12 40 68 87
Finland 514 4 30 73 96
United States 509 7 30 68 92
England 507 8 32 65 88
International 500 3 17 46 75
39. intermediate
grade eight mathematics
advanced
average
high
low
Singapore 611 48 78 92 99
Malaysia 440 2 12 36 65
Thailand 427 2 8 26 55
Indonesia 386 0 2 15 43
International 500 3 17 46 75
40. grade eight mathematics
dislike math
advanced
like math
average
Singapore 611 48 32 23
Malaysia 440 2 39 15
Thailand 427 2 26 16
Indonesia 386 0 20 10
International 500 3 26 31
41. grade eight mathematics
dislike math
advanced
like math
average
Singapore 611 48 32 23
South Korea 613 47 8 56
Taiwan 609 49 14 53
Hong Kong 586 34 19 37
Japan 570 27 9 53
International 500 3 26 31
42. perentage
correct
Singapore 82
International 52
43. perentage
correct
Singapore 52
International 27
44. perentage
correct
Singapore 45
International 23
45. perentage
correct
Singapore 60
International 25