No document was provided to summarize. A summary requires source text to extract the key points and essential information from. Without a document, it is not possible to generate an accurate 3 sentence summary.
Este documento proporciona 10 consejos clave para mejorar las previsiones de demanda en la industria minorista. Recomienda (1) equilibrar las previsiones de unidades con el presupuesto económico, (2) simplificar el proceso de reajuste de previsiones, y (3) depurar los datos de ventas antes de realizar previsiones para mejorar la fiabilidad. También sugiere (4) usar múltiples técnicas de previsión, (5) aprender de los errores pasados, y (6) que el proceso de
Seminar at Harvard Graduate School of Education 15 April 2010Jimmy Keng
The document discusses several theories that underpin the approach to mathematics education in Singapore. It discusses Bruner's theory of moving from concrete to pictorial to abstract representations. It also discusses Skemp's theory of relational versus instrumental understanding. Dienes' theory of variation to aid conceptual understanding is also summarized. Examples are provided of how these theories are implemented in Singapore math textbooks and lessons through concrete models, pictorial representations, and variations in problems.
Recursos Materiales de Desarrollo Lógico Matemático ana cas
Este documento presenta varios recursos materiales utilizados en la asamblea diaria en clases de educación infantil para trabajar conceptos matemáticos de forma intuitiva. Describe calendarios, series numéricas, cuadros de doble entrada y más que ayudan a los niños a desarrollar nociones de números, tiempo y lógica. También presenta juegos y actividades para el rincón de matemáticas que permiten a los niños aprender conceptos matemáticos de manera individualizada y lúdica.
Living Lab network in Southern Africa (LLiSA) - Marlien HerselmanSAFIPA
Living Labs are environments, a methodology or an
approach which caters for user-driven open innovation
within real-life rural and urban settings/communities, where
users can collaborate with multiple committed
stakeholders (whether NGOs, SMMEs, industrial,
academic/research, government institutions or donors) in
one or more locations, to become co-creators or codesigners
of innovative ideas, processes or products
within multidisciplinary environments.
Mobile Learning for Mathematics in formal / informal education in South Afric...SAFIPA
This project looks at the issue of how to harness mobile phones for learning mathematics in formal and informal learning environments with the objective of finding a sustainable, scalable, replicable, and affordable service for learners.
This document provides samples of ten frame worksheets for teaching numbers to 10 and 20. It includes worksheets where students draw the correct number of counters on single and double ten frames, and worksheets where students identify the number represented without counting. The document also contains a classroom teaching license that allows free duplication and distribution of the worksheets for classroom use.
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.
The document outlines an agenda for a Singapore Maths Workshop covering topics like sum, difference, product, quotient, remainder, multiples, factors, lowest common multiples, highest common factors, and ordinal numbers. It provides examples of word problems involving comparisons using terms like more than and less than. It includes two sample math word problems, one involving amounts of lemon tea sold on different days and the other involving costs of book sets and dictionaries. The workshop aims to teach mathematical concepts and skills through examples and models.
Este documento proporciona 10 consejos clave para mejorar las previsiones de demanda en la industria minorista. Recomienda (1) equilibrar las previsiones de unidades con el presupuesto económico, (2) simplificar el proceso de reajuste de previsiones, y (3) depurar los datos de ventas antes de realizar previsiones para mejorar la fiabilidad. También sugiere (4) usar múltiples técnicas de previsión, (5) aprender de los errores pasados, y (6) que el proceso de
Seminar at Harvard Graduate School of Education 15 April 2010Jimmy Keng
The document discusses several theories that underpin the approach to mathematics education in Singapore. It discusses Bruner's theory of moving from concrete to pictorial to abstract representations. It also discusses Skemp's theory of relational versus instrumental understanding. Dienes' theory of variation to aid conceptual understanding is also summarized. Examples are provided of how these theories are implemented in Singapore math textbooks and lessons through concrete models, pictorial representations, and variations in problems.
Recursos Materiales de Desarrollo Lógico Matemático ana cas
Este documento presenta varios recursos materiales utilizados en la asamblea diaria en clases de educación infantil para trabajar conceptos matemáticos de forma intuitiva. Describe calendarios, series numéricas, cuadros de doble entrada y más que ayudan a los niños a desarrollar nociones de números, tiempo y lógica. También presenta juegos y actividades para el rincón de matemáticas que permiten a los niños aprender conceptos matemáticos de manera individualizada y lúdica.
Living Lab network in Southern Africa (LLiSA) - Marlien HerselmanSAFIPA
Living Labs are environments, a methodology or an
approach which caters for user-driven open innovation
within real-life rural and urban settings/communities, where
users can collaborate with multiple committed
stakeholders (whether NGOs, SMMEs, industrial,
academic/research, government institutions or donors) in
one or more locations, to become co-creators or codesigners
of innovative ideas, processes or products
within multidisciplinary environments.
Mobile Learning for Mathematics in formal / informal education in South Afric...SAFIPA
This project looks at the issue of how to harness mobile phones for learning mathematics in formal and informal learning environments with the objective of finding a sustainable, scalable, replicable, and affordable service for learners.
This document provides samples of ten frame worksheets for teaching numbers to 10 and 20. It includes worksheets where students draw the correct number of counters on single and double ten frames, and worksheets where students identify the number represented without counting. The document also contains a classroom teaching license that allows free duplication and distribution of the worksheets for classroom use.
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.
The document outlines an agenda for a Singapore Maths Workshop covering topics like sum, difference, product, quotient, remainder, multiples, factors, lowest common multiples, highest common factors, and ordinal numbers. It provides examples of word problems involving comparisons using terms like more than and less than. It includes two sample math word problems, one involving amounts of lemon tea sold on different days and the other involving costs of book sets and dictionaries. The workshop aims to teach mathematical concepts and skills through examples and models.
The document advertises the Seriously Addictive Maths (S.A.M.) program for teaching Singapore Math to children ages 4 to 12. It claims that Singapore Math has been ranked highly in international studies and that S.A.M. effectively delivers the program through creative teaching and over 30,000 pages of worksheets. The S.A.M. approach is described as the only program needed to excel in Singapore Math.
Este documento presenta el proyecto de aula para el área de matemáticas en cuarto grado. El proyecto se centra en las fracciones y tiene como objetivo principal que los estudiantes interpreten y se apropien de los elementos de su contexto cultural para proponer nuevos mecanismos que transformen su entorno. El proyecto incluye 8 momentos pedagógicos utilizando materiales como regletas de Cuisenaire y tortas fraccionarias para trabajar conceptos como equivalencia de fracciones, suma, resta, multiplicación y división de fracciones.
This document contains images of ten frame cards numbered 0 through 10. The cards show arrangements of dots within frames to represent numbers and provide a visual way for students to learn numbers and counting. The ten frames serve as a tool to help teach basic number concepts and quantity recognition for early math skills.
The document provides activities for teaching subitizing and number sense using dot cards and ten frames. It discusses subitizing as recognizing small quantities without counting and provides examples of dot card and ten frame activities. The activities are designed to help students learn number patterns, compositions, comparisons and build number sense for quantities up to 10 or 20. Suggested activities include matching games, flash card activities, and building sets based on oral instructions.
The document lists counting exercises using double ten frames for first grade students. There are 27 exercises that involve counting dots on double ten frames from 1 to 10 dots using the "counting on" method or counting frames filled with all single dots. The exercises focus on rote counting skills using a visual representation of quantities on a double ten frame.
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.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
This document contains a set of number cards showing the numbers 10 through 20, with each number written out and illustrated using dots in a ten frame configuration. The cards provide a visual representation of quantities to help students learn number concepts and counting within the teens.
The document repeatedly lists "Mignonne Wood: Western Mathematics Consultant Pearson Education Canada" without providing any additional context or information about Mignonne Wood, her role, or the topic being discussed.
This document provides an introduction to the Singapore Math approach. It discusses Jerome Bruner's model of concrete, pictorial, and abstract representations in learning. It presents examples of how Singapore textbooks and lessons move from hands-on activities to visual representations to symbolic expressions. The document shares photos of students in Singapore and Indonesia using concrete materials to understand mathematical concepts like volume. It provides word problems and worked examples demonstrating the concrete-pictorial-abstract approach.
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.
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.
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.
The document discusses Singapore Math and its emphasis on visualization and multi-step word problems involving fractions. It provides examples from primary level textbooks showing how visuals are used to teach concepts like the distributive property without using formal terms. The examples illustrate multi-step fraction word problems and how they are visually represented and solved step-by-step to find the total number of coins or durians originally involved.
The document advertises the Seriously Addictive Maths (S.A.M.) program for teaching Singapore Math to children ages 4 to 12. It claims that Singapore Math has been ranked highly in international studies and that S.A.M. effectively delivers the program through creative teaching and over 30,000 pages of worksheets. The S.A.M. approach is described as the only program needed to excel in Singapore Math.
Este documento presenta el proyecto de aula para el área de matemáticas en cuarto grado. El proyecto se centra en las fracciones y tiene como objetivo principal que los estudiantes interpreten y se apropien de los elementos de su contexto cultural para proponer nuevos mecanismos que transformen su entorno. El proyecto incluye 8 momentos pedagógicos utilizando materiales como regletas de Cuisenaire y tortas fraccionarias para trabajar conceptos como equivalencia de fracciones, suma, resta, multiplicación y división de fracciones.
This document contains images of ten frame cards numbered 0 through 10. The cards show arrangements of dots within frames to represent numbers and provide a visual way for students to learn numbers and counting. The ten frames serve as a tool to help teach basic number concepts and quantity recognition for early math skills.
The document provides activities for teaching subitizing and number sense using dot cards and ten frames. It discusses subitizing as recognizing small quantities without counting and provides examples of dot card and ten frame activities. The activities are designed to help students learn number patterns, compositions, comparisons and build number sense for quantities up to 10 or 20. Suggested activities include matching games, flash card activities, and building sets based on oral instructions.
The document lists counting exercises using double ten frames for first grade students. There are 27 exercises that involve counting dots on double ten frames from 1 to 10 dots using the "counting on" method or counting frames filled with all single dots. The exercises focus on rote counting skills using a visual representation of quantities on a double ten frame.
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.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
This document contains a set of number cards showing the numbers 10 through 20, with each number written out and illustrated using dots in a ten frame configuration. The cards provide a visual representation of quantities to help students learn number concepts and counting within the teens.
The document repeatedly lists "Mignonne Wood: Western Mathematics Consultant Pearson Education Canada" without providing any additional context or information about Mignonne Wood, her role, or the topic being discussed.
This document provides an introduction to the Singapore Math approach. It discusses Jerome Bruner's model of concrete, pictorial, and abstract representations in learning. It presents examples of how Singapore textbooks and lessons move from hands-on activities to visual representations to symbolic expressions. The document shares photos of students in Singapore and Indonesia using concrete materials to understand mathematical concepts like volume. It provides word problems and worked examples demonstrating the concrete-pictorial-abstract approach.
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.
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.
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.
The document discusses Singapore Math and its emphasis on visualization and multi-step word problems involving fractions. It provides examples from primary level textbooks showing how visuals are used to teach concepts like the distributive property without using formal terms. The examples illustrate multi-step fraction word problems and how they are visually represented and solved step-by-step to find the total number of coins or durians originally involved.