This document discusses Singapore Math and its origins in Singapore. It summarizes that Singapore developed Singapore Math in response to low student achievement and a poor economy in the 1960s. The key aspects of Singapore Math are its focus on fundamental math concepts and pattern observation. It is presented as a way to improve math education and outcomes.
This presentation was made to K-12 teachers at the school district at Smithville, Missouri. It focuses on what research and theories say about mathematics teaching and learning that can result in high achievement and positive attitude and consistent with learning for the 21st century economy and society.
Progressive Classroom Designs: Common Core State Standards Math - The Singapo...Jimmy Keng
This document discusses Singapore's approach to mathematics education. It begins with an introduction and data showing Singapore students outperforming peers internationally in mathematics. Singapore focused on conceptual understanding and developed its approach in response to low student achievement and economic challenges in the 1960s-1970s. Key aspects of the Singapore approach include visualizing concepts, flexibility with numbers, seeing patterns, and relational understanding. Subsequent slides cover topics like counting, basic operations, and the bar model method.
King of Prussia 1 | Lecture on VisualizationJimmy Keng
Singapore developed its approach to math, known as Singapore math, in response to low student achievement and economic struggles in the 1960s. The approach focuses on visualization and uses a concrete-pictorial-abstract method. It was influenced by both economic needs for problem solving skills and considerations of how children learn best. Lessons involve both problem solving and building basic skills.
This document summarizes the Concrete-Pictorial-Abstract (CPA) approach to teaching primary mathematics. It discusses how the CPA approach is based on Bruner's work on using enactive, iconic, and symbolic representations. Examples are provided of how the CPA approach can be applied to teaching fractions, division, addition, area of a circle, and other math concepts from Primary 1 through 6. The approach aims to develop students' intellectual competence through mathematics according to Singapore's Ministry of Education.
The document discusses Singapore's history and development of its mathematics education system. Upon gaining independence in 1965, Singapore faced high unemployment, poverty, and illiteracy. In the 1970s, Singapore developed an approach based on Bruner's work and other learning theories to help students learn mathematics better, which became known as Singapore Math. The document also announces a summer institute on fundamentals of Singapore Math to be held in Philadelphia.
The document discusses Singapore's approach to mathematics education, known as the CPA Approach. It is based on Bruner's theory of enactive, iconic, and symbolic representations. The CPA Approach focuses on visualization, number sense, generalization, and seeing patterns and connections. It has helped students in Singapore and several other countries perform well in mathematics according to international test results. The approach views mathematics as an excellent way to develop intellectual competence.
Singapore faced high unemployment, poverty, and overcrowded housing conditions after separating from Malaysia in 1965. Unemployment was at 14% and GDP per capita was under $2,700. Half the population was illiterate. However, through reforms to its education system emphasizing problem solving, Singapore was able to achieve high economic growth and GDP per capita over $60,000 by 2012. The education system focused on developing number sense, visualization, generalization skills and linking instrumental and relational understanding.
This document discusses Singapore Math and its origins in Singapore. It summarizes that Singapore developed Singapore Math in response to low student achievement and a poor economy in the 1960s. The key aspects of Singapore Math are its focus on fundamental math concepts and pattern observation. It is presented as a way to improve math education and outcomes.
This presentation was made to K-12 teachers at the school district at Smithville, Missouri. It focuses on what research and theories say about mathematics teaching and learning that can result in high achievement and positive attitude and consistent with learning for the 21st century economy and society.
Progressive Classroom Designs: Common Core State Standards Math - The Singapo...Jimmy Keng
This document discusses Singapore's approach to mathematics education. It begins with an introduction and data showing Singapore students outperforming peers internationally in mathematics. Singapore focused on conceptual understanding and developed its approach in response to low student achievement and economic challenges in the 1960s-1970s. Key aspects of the Singapore approach include visualizing concepts, flexibility with numbers, seeing patterns, and relational understanding. Subsequent slides cover topics like counting, basic operations, and the bar model method.
King of Prussia 1 | Lecture on VisualizationJimmy Keng
Singapore developed its approach to math, known as Singapore math, in response to low student achievement and economic struggles in the 1960s. The approach focuses on visualization and uses a concrete-pictorial-abstract method. It was influenced by both economic needs for problem solving skills and considerations of how children learn best. Lessons involve both problem solving and building basic skills.
This document summarizes the Concrete-Pictorial-Abstract (CPA) approach to teaching primary mathematics. It discusses how the CPA approach is based on Bruner's work on using enactive, iconic, and symbolic representations. Examples are provided of how the CPA approach can be applied to teaching fractions, division, addition, area of a circle, and other math concepts from Primary 1 through 6. The approach aims to develop students' intellectual competence through mathematics according to Singapore's Ministry of Education.
The document discusses Singapore's history and development of its mathematics education system. Upon gaining independence in 1965, Singapore faced high unemployment, poverty, and illiteracy. In the 1970s, Singapore developed an approach based on Bruner's work and other learning theories to help students learn mathematics better, which became known as Singapore Math. The document also announces a summer institute on fundamentals of Singapore Math to be held in Philadelphia.
The document discusses Singapore's approach to mathematics education, known as the CPA Approach. It is based on Bruner's theory of enactive, iconic, and symbolic representations. The CPA Approach focuses on visualization, number sense, generalization, and seeing patterns and connections. It has helped students in Singapore and several other countries perform well in mathematics according to international test results. The approach views mathematics as an excellent way to develop intellectual competence.
Singapore faced high unemployment, poverty, and overcrowded housing conditions after separating from Malaysia in 1965. Unemployment was at 14% and GDP per capita was under $2,700. Half the population was illiterate. However, through reforms to its education system emphasizing problem solving, Singapore was able to achieve high economic growth and GDP per capita over $60,000 by 2012. The education system focused on developing number sense, visualization, generalization skills and linking instrumental and relational understanding.
The document discusses Singapore's approach to improving student achievement in mathematics. It provides background on Singapore's economic conditions in the 1960s-1970s when Singapore gained independence, with high poverty and illiteracy. It then summarizes Singapore's rising test scores and economic growth between the 1960s-2000s. Charts show Singapore students outperforming other Asian countries on international assessments. The document advocates teaching mathematics for relational understanding through concrete examples, problem-solving, and ensuring all students achieve basic skills as defined by standards.
This presentation was made to Education Minister Brunei Pehin Orang kaya Seri ratna Dato Seri Setia Awang Haji Abu Bakar bin Haji Apong and Deputy Permanent Secretary (Core Education) Dr Hajjah Romaizah bte Haji Mohd Salleh
Universal Basic Skills - What Countries Stand to Gain EduSkills OECD
(Andreas Schleicher - Director, OECD Directorate for Education and Skills)
While access to schooling has expanded around the world, many countries have not realised the hoped-for improvements in economic and social well-being. Access to education by itself is an incomplete goal for development; many students leave the education system without basic proficiency in literacy and numeracy. As the world coalesces around new sustainable development targets towards 2030, the focus in education is shifting towards access and quality. Using projections based on data from the OECD Programme for International Student Assessment (PISA) and other international student assessments, this report offers a glimpse of the stunning economic and social benefits that all countries, regardless of their national wealth, stand to gain if they ensure that every child not only has access to education but, through that education, acquires at least the baseline level of skills needed to participate fully in society.
Raising Social Mobility Through Teacher PolicyEduSkills OECD
Andreas Schleicher
Director for Education and Skills
OECD
Challenges for teachers
Student-level
Initiating and managing learning processes, including active learning
Responding to the learning needs of individual learners
Integrating formative and summative assessment
Classroom level
Teaching in multicultural classrooms
Emphasising cross-curricular studies
Integrating students with special needs
School level
Working and planning in teams and partner with other schools
Evaluating and planning for improvement
Using ICT for teaching and administration, etc.
Anglo Singapore International School Seminar for ParentsJimmy Keng
The document discusses what is really important for children to learn in school. It begins by outlining a school's vision of diligent learners who are respectful global citizens and contributors to their community with a desire for advancement. It then provides examples of fractions lessons and assessments from Singapore, New York, and international organizations. Tables show Singapore performing highly in PISA tests in reading, mathematics, and students' enjoyment of math compared to other countries. The document advocates for teaching useful skills and knowledge to better prepare children for the future.
This document discusses the relationship between education and interpersonal trust. It analyzes data from the Program for the International Assessment of Adult Competencies (PIAAC) regarding levels of trust among adults in different countries. It finds that countries with higher average literacy scores on PIAAC also tend to have populations with higher levels of trust. Additionally, it shows that individuals with higher educational attainment themselves, as well as those who had fathers with higher education, are more likely to express trust in others. Overall, the document argues that education plays an important role in building and maintaining interpersonal trust through enhancing skills, socialization, and occupational outcomes.
Skilled for Life - Presentation by Andreas Schleicher at the PIAAC Internatio...EduSkills OECD
The purpose of the second PIAAC International Conference 2015 is to present work using data from the Programme for the International Assessment of Adult Competencies (PIAAC) relating to issues such as: the deployment of skills in the economy, returns to education and skills or the influence of workplace training.
The ABC of Gender Equality in Education - Aptitude, Behaviour, Confidence EduSkills OECD
Presentation by Andreas Schleicher, Director for the OECD Directorate for Education and Skills
The ABC of Gender Equality in Education: Aptitude, Behaviour, Confidence tries to determine why 15-year-old boys are more likely than girls, on average, to be overall low achievers, and why high-performing 15-year-old girls underachieve in mathematics, science and problem solving compared to high-achieving boys. As the evidence in the report makes clear, gender disparities in school performance stem from students’ attitudes towards learning and their behaviour in school, from how they choose to spend their leisure time, and from the confidence they have – or do not have – in their own abilities as students.
Raising Performance in Lithuanian Education - An International PerspectiveEduSkills OECD
Lithuania has achieved steady expansion of participation in education, substantially widening access to early childhood education and care and tertiary education, coupling this with nearly universal participation in secondary education. However, if Lithuania’s education system is to help the nation respond effectively to economic opportunities and demographic challenges, improvements in the performance of its schools and its higher education institutions are needed. Improved performance requires that Lithuania clarify and raise expectations of performance, align resources in support of raised performance expectations, strengthen performance monitoring and the assurance of quality, and build institutional capacity to achieve high performance. This orientation to improvement should be carried across each sector of its education system.
Andreas Schleicher - Director for the Directorate of Education and Skills, OECD. Poverty is not destiny The country where migrants go to school matters more than the country where they came from. Technology can amplify innovative teaching. Countries where students have stronger beliefs in their abilities perform better in mathematics.
This document discusses the development of distance education in Iceland. It notes that the number of distance students has grown significantly at the university and secondary school levels over the last decade. It provides examples of distance programs at the university and secondary school levels in Iceland and discusses characteristics of effective distance learning courses. It also considers how to teach different student groups, including the "Net Generation", as distance education continues to evolve with new technologies.
Education at a Glance 2015 - Global LaunchEduSkills OECD
Education at a Glance: OECD Indicators is the authoritative source for information on the state of education around the world. It provides data on the structure, finances and performance of education systems in the 34 OECD countries and a number of partner countries.
With more than 100 charts, 150 tables and links to another 150 tables on line, Education at a Glance 2015 provides key information on the output of educational institutions; the impact of learning across countries; the financial and human resources invested in education; access, participation and progression in education;and the learning environment and organisation of schools.
International Summit on the Teaching Profession - The Future of Teaching and ...EduSkills OECD
The document discusses trends in education based on findings from the OECD's Programme for International Student Assessment (PISA). It shows that student performance in science has increased steadily over time for the OECD average. It also shows graphs comparing science performance to factors like spending per student, learning time, and internet use. The document advocates for the importance of early childhood education, presenting data showing its impact on later student performance and literacy skills. It discusses how access to early childhood programs varies between countries and is often less for children who could benefit most.
Anglo Singapore International School Teacher WorkshopJimmy Keng
This document outlines the agenda for a workshop on re-imagining the classroom, including sessions on the Singapore syllabus, international education, uniquely Anglo teaching styles, and setting the context. It also lists topics for examining the changing face of examinations, such as the general paper and A-levels in Singapore, literature exams, mathematics assessments at different education levels, PISA science exams, social studies exams, and primary school science standards.
The resilience of students with an immigrant background - factors that shape ...EduSkills OECD
The Resilience of Students with an Immigrant Background: Factors that Shape Well-being reveals some of the difficulties students with an immigrant background encounter and where they receive the support they need. The report provides an in-depth analysis of the risk and protective factors that can undermine or promote the resilience of immigrant students. It explores the role that education systems, schools and teachers can play in helping these students integrate into their communities, overcome adversity, and build their academic, social, emotional and motivational resilience.
The document presents data from PISA tests on reading literacy, mathematical literacy, and attitudes towards math in various countries. It shows that Shanghai-China, Singapore, and Hong Kong-China scored highest in reading literacy. Shanghai-China, Singapore, and Hong Kong-China also scored highest in mathematical literacy. The data also compares the percentage of students in different countries scoring at advanced and proficient levels in grade 8 mathematics, and their attitudes towards liking and disliking math.
Education Reforms Across OECD - Trends and ChallengesEduSkills OECD
The document summarizes education reforms across OECD countries from 2008-2014. It finds that OECD countries adopted over 450 reforms in this period, focusing on areas like equity, quality, preparing students for the future, school improvement, evaluation and assessment, governance and funding. However, countries struggled with implementing coherent reform strategies and ensuring reforms reached classrooms. The document also provides examples of reforms in specific countries like Australia, Ireland, and Sweden in this period.
Effective Policy for Teaching, Testing, Talent and TechnologyEduSkills OECD
The Programme for International Student Assessment (PISA) is a triennial international survey which aims to evaluate education systems worldwide by testing the skills and knowledge of 15-year-old students.
In 2015 over half a million students, representing 28 million 15-year-olds in 72 countries and economies, took the internationally agreed two-hour test. Students were assessed in science, mathematics, reading, collaborative problem solving and financial literacy.
The results of the 2015 assessment were published on 6th December 2016.
Education in Latvia - Progress, Challenges and RecommendationsEduSkills OECD
How can Latvia improve the quality and equity of its education system and realise long-term efficiency gains? This report covers the whole education system from early childhood education and care to tertiary education and provides an assessment of Latvia’s policies and practices against the best approaches in education and skills across the OECD. This international comparison brings to the fore the many strengths of Latvia’s education system, but also highlights the challenges it faces and provides a number of recommendations in response. This report will be of value to Latvia but also policy makers in other countries looking to raise the quality, equity and efficiency of their education system.
This presentation by Andreas Schleicher, presented on 3 April 2017, takes a closer look at the PISA 2015 results for Sweden and what can be done to improve equity in its education system.
This document provides encouragement to pursue one's passions and empower one's personal growth by seeing beyond current borders or limitations. It suggests taking action to step into success by empowering one's persona and pursuing what inspires passion.
The document summarizes a professional development day for Edgemont Union Free School District that included an overview of Singapore's philosophy of education. The day consisted of four parts focusing on features of Math in Focus lessons incorporating assessment and differentiated instruction. Presentation slides from the sessions were available online.
The document discusses Singapore's approach to improving student achievement in mathematics. It provides background on Singapore's economic conditions in the 1960s-1970s when Singapore gained independence, with high poverty and illiteracy. It then summarizes Singapore's rising test scores and economic growth between the 1960s-2000s. Charts show Singapore students outperforming other Asian countries on international assessments. The document advocates teaching mathematics for relational understanding through concrete examples, problem-solving, and ensuring all students achieve basic skills as defined by standards.
This presentation was made to Education Minister Brunei Pehin Orang kaya Seri ratna Dato Seri Setia Awang Haji Abu Bakar bin Haji Apong and Deputy Permanent Secretary (Core Education) Dr Hajjah Romaizah bte Haji Mohd Salleh
Universal Basic Skills - What Countries Stand to Gain EduSkills OECD
(Andreas Schleicher - Director, OECD Directorate for Education and Skills)
While access to schooling has expanded around the world, many countries have not realised the hoped-for improvements in economic and social well-being. Access to education by itself is an incomplete goal for development; many students leave the education system without basic proficiency in literacy and numeracy. As the world coalesces around new sustainable development targets towards 2030, the focus in education is shifting towards access and quality. Using projections based on data from the OECD Programme for International Student Assessment (PISA) and other international student assessments, this report offers a glimpse of the stunning economic and social benefits that all countries, regardless of their national wealth, stand to gain if they ensure that every child not only has access to education but, through that education, acquires at least the baseline level of skills needed to participate fully in society.
Raising Social Mobility Through Teacher PolicyEduSkills OECD
Andreas Schleicher
Director for Education and Skills
OECD
Challenges for teachers
Student-level
Initiating and managing learning processes, including active learning
Responding to the learning needs of individual learners
Integrating formative and summative assessment
Classroom level
Teaching in multicultural classrooms
Emphasising cross-curricular studies
Integrating students with special needs
School level
Working and planning in teams and partner with other schools
Evaluating and planning for improvement
Using ICT for teaching and administration, etc.
Anglo Singapore International School Seminar for ParentsJimmy Keng
The document discusses what is really important for children to learn in school. It begins by outlining a school's vision of diligent learners who are respectful global citizens and contributors to their community with a desire for advancement. It then provides examples of fractions lessons and assessments from Singapore, New York, and international organizations. Tables show Singapore performing highly in PISA tests in reading, mathematics, and students' enjoyment of math compared to other countries. The document advocates for teaching useful skills and knowledge to better prepare children for the future.
This document discusses the relationship between education and interpersonal trust. It analyzes data from the Program for the International Assessment of Adult Competencies (PIAAC) regarding levels of trust among adults in different countries. It finds that countries with higher average literacy scores on PIAAC also tend to have populations with higher levels of trust. Additionally, it shows that individuals with higher educational attainment themselves, as well as those who had fathers with higher education, are more likely to express trust in others. Overall, the document argues that education plays an important role in building and maintaining interpersonal trust through enhancing skills, socialization, and occupational outcomes.
Skilled for Life - Presentation by Andreas Schleicher at the PIAAC Internatio...EduSkills OECD
The purpose of the second PIAAC International Conference 2015 is to present work using data from the Programme for the International Assessment of Adult Competencies (PIAAC) relating to issues such as: the deployment of skills in the economy, returns to education and skills or the influence of workplace training.
The ABC of Gender Equality in Education - Aptitude, Behaviour, Confidence EduSkills OECD
Presentation by Andreas Schleicher, Director for the OECD Directorate for Education and Skills
The ABC of Gender Equality in Education: Aptitude, Behaviour, Confidence tries to determine why 15-year-old boys are more likely than girls, on average, to be overall low achievers, and why high-performing 15-year-old girls underachieve in mathematics, science and problem solving compared to high-achieving boys. As the evidence in the report makes clear, gender disparities in school performance stem from students’ attitudes towards learning and their behaviour in school, from how they choose to spend their leisure time, and from the confidence they have – or do not have – in their own abilities as students.
Raising Performance in Lithuanian Education - An International PerspectiveEduSkills OECD
Lithuania has achieved steady expansion of participation in education, substantially widening access to early childhood education and care and tertiary education, coupling this with nearly universal participation in secondary education. However, if Lithuania’s education system is to help the nation respond effectively to economic opportunities and demographic challenges, improvements in the performance of its schools and its higher education institutions are needed. Improved performance requires that Lithuania clarify and raise expectations of performance, align resources in support of raised performance expectations, strengthen performance monitoring and the assurance of quality, and build institutional capacity to achieve high performance. This orientation to improvement should be carried across each sector of its education system.
Andreas Schleicher - Director for the Directorate of Education and Skills, OECD. Poverty is not destiny The country where migrants go to school matters more than the country where they came from. Technology can amplify innovative teaching. Countries where students have stronger beliefs in their abilities perform better in mathematics.
This document discusses the development of distance education in Iceland. It notes that the number of distance students has grown significantly at the university and secondary school levels over the last decade. It provides examples of distance programs at the university and secondary school levels in Iceland and discusses characteristics of effective distance learning courses. It also considers how to teach different student groups, including the "Net Generation", as distance education continues to evolve with new technologies.
Education at a Glance 2015 - Global LaunchEduSkills OECD
Education at a Glance: OECD Indicators is the authoritative source for information on the state of education around the world. It provides data on the structure, finances and performance of education systems in the 34 OECD countries and a number of partner countries.
With more than 100 charts, 150 tables and links to another 150 tables on line, Education at a Glance 2015 provides key information on the output of educational institutions; the impact of learning across countries; the financial and human resources invested in education; access, participation and progression in education;and the learning environment and organisation of schools.
International Summit on the Teaching Profession - The Future of Teaching and ...EduSkills OECD
The document discusses trends in education based on findings from the OECD's Programme for International Student Assessment (PISA). It shows that student performance in science has increased steadily over time for the OECD average. It also shows graphs comparing science performance to factors like spending per student, learning time, and internet use. The document advocates for the importance of early childhood education, presenting data showing its impact on later student performance and literacy skills. It discusses how access to early childhood programs varies between countries and is often less for children who could benefit most.
Anglo Singapore International School Teacher WorkshopJimmy Keng
This document outlines the agenda for a workshop on re-imagining the classroom, including sessions on the Singapore syllabus, international education, uniquely Anglo teaching styles, and setting the context. It also lists topics for examining the changing face of examinations, such as the general paper and A-levels in Singapore, literature exams, mathematics assessments at different education levels, PISA science exams, social studies exams, and primary school science standards.
The resilience of students with an immigrant background - factors that shape ...EduSkills OECD
The Resilience of Students with an Immigrant Background: Factors that Shape Well-being reveals some of the difficulties students with an immigrant background encounter and where they receive the support they need. The report provides an in-depth analysis of the risk and protective factors that can undermine or promote the resilience of immigrant students. It explores the role that education systems, schools and teachers can play in helping these students integrate into their communities, overcome adversity, and build their academic, social, emotional and motivational resilience.
The document presents data from PISA tests on reading literacy, mathematical literacy, and attitudes towards math in various countries. It shows that Shanghai-China, Singapore, and Hong Kong-China scored highest in reading literacy. Shanghai-China, Singapore, and Hong Kong-China also scored highest in mathematical literacy. The data also compares the percentage of students in different countries scoring at advanced and proficient levels in grade 8 mathematics, and their attitudes towards liking and disliking math.
Education Reforms Across OECD - Trends and ChallengesEduSkills OECD
The document summarizes education reforms across OECD countries from 2008-2014. It finds that OECD countries adopted over 450 reforms in this period, focusing on areas like equity, quality, preparing students for the future, school improvement, evaluation and assessment, governance and funding. However, countries struggled with implementing coherent reform strategies and ensuring reforms reached classrooms. The document also provides examples of reforms in specific countries like Australia, Ireland, and Sweden in this period.
Effective Policy for Teaching, Testing, Talent and TechnologyEduSkills OECD
The Programme for International Student Assessment (PISA) is a triennial international survey which aims to evaluate education systems worldwide by testing the skills and knowledge of 15-year-old students.
In 2015 over half a million students, representing 28 million 15-year-olds in 72 countries and economies, took the internationally agreed two-hour test. Students were assessed in science, mathematics, reading, collaborative problem solving and financial literacy.
The results of the 2015 assessment were published on 6th December 2016.
Education in Latvia - Progress, Challenges and RecommendationsEduSkills OECD
How can Latvia improve the quality and equity of its education system and realise long-term efficiency gains? This report covers the whole education system from early childhood education and care to tertiary education and provides an assessment of Latvia’s policies and practices against the best approaches in education and skills across the OECD. This international comparison brings to the fore the many strengths of Latvia’s education system, but also highlights the challenges it faces and provides a number of recommendations in response. This report will be of value to Latvia but also policy makers in other countries looking to raise the quality, equity and efficiency of their education system.
This presentation by Andreas Schleicher, presented on 3 April 2017, takes a closer look at the PISA 2015 results for Sweden and what can be done to improve equity in its education system.
This document provides encouragement to pursue one's passions and empower one's personal growth by seeing beyond current borders or limitations. It suggests taking action to step into success by empowering one's persona and pursuing what inspires passion.
The document summarizes a professional development day for Edgemont Union Free School District that included an overview of Singapore's philosophy of education. The day consisted of four parts focusing on features of Math in Focus lessons incorporating assessment and differentiated instruction. Presentation slides from the sessions were available online.
O documento discute o Transtorno do Desenvolvimento da Coordenação (TDC), definindo-o como um transtorno motor caracterizado por desempenho motor abaixo do esperado para a idade. Detalha sinais e características da criança com TDC, como desajeitamento e dificuldade em atividades que requerem coordenação motora fina e grossa. Também aborda aspectos do desenvolvimento motor e aprendizagem motora relacionados ao TDC.
Thomas Jefferson was elected president as a Democratic-Republican. During his presidency, the United States fought the Tripolitan War against the Barbary States after Jefferson refused to pay tribute for safe passage of ships. Jefferson also orchestrated the Louisiana Purchase, doubling the size of the country by acquiring the Louisiana territory from France. He then commissioned the Lewis and Clark Expedition to explore the new lands, mapping the geography and documenting interactions with Native American tribes.
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. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
O documento apresenta diretrizes técnicas de aplicação da acessibilidade universal no Campus Pampulha da UFMG. Detalha conceitos como acessibilidade ambiental, desenho universal e rota acessível. Realizou levantamento de dados na região central do campus, identificando problemas e potencialidades, para elaborar padrões de solução técnica e tornar o campus mais inclusivo.
Southern Bancorp is a bank holding company operating in the Mississippi River Delta region, one of the poorest areas in the US with poverty rates over 25%. Through strategic community planning involving hundreds of local residents, Southern Bancorp has invested over $110 million to improve education, leadership, economic development, and housing conditions. Notable outcomes include new schools, businesses, facilities, over 1,000 improved lives, and $70 million leveraged from other sources to further support the region.
This document discusses Singapore's approach to mathematics education, known as Singapore Math. It began in the 1970s as a response to low student achievement and Singapore's poor economic performance. The approach focuses on developing conceptual understanding through concrete, pictorial, and abstract representations. It is based on theories of learning and child development. Singapore Math emphasizes number sense, problem solving, and multiple strategies. As a result of this approach, Singapore students have achieved high scores on international assessments in mathematics. The document examines learning outcomes in various countries and how Singapore transformed its economy through education reforms like Singapore Math.
M4thodology Grades 3-6 Day 1 General Session 1 Role of MathematicsJimmy Keng
1) The document discusses the Singapore math methodology, which focuses on conceptual understanding through concrete, pictorial, and abstract representations.
2) Singapore developed this approach in response to low student achievement and economic problems in the 1960s-1970s.
3) The methodology emphasizes understanding relationships between mathematical ideas through representations like number bonds and using models to understand dividing.
M4thodology Institute K-2 General Session on VisualizationJimmy Keng
1. The document discusses Singapore's approach to teaching mathematics, called the Singapore Math approach.
2. Singapore developed this approach in the 1970s to improve student performance in mathematics. It was based on Bruner's work and other learning theories.
3. The approach focuses on developing conceptual understanding, thinking skills, and fluency with basic math facts and procedures.
20140110 Math Circle Launch PresentationJimmy Keng
Upon gaining independence in 1965, Singapore faced significant challenges including high unemployment, poverty, and illiteracy. The country had a GDP per capita of less than $2,700. In the late 20th century, Singapore developed its own mathematics curriculum called Singapore Math that focused on problem solving, reasoning, and the use of manipulatives. This challenging program aimed to improve learning outcomes for all students. By the 2000s, Singapore students achieved among the top scores in international assessments like PISA and TIMSS, with a small percentage of low performers and a high percentage of top performers.
MAP114 Differentiated Instruction in Primary MathematicsJimmy Keng
This document discusses differentiated instruction for teaching mathematical concepts like ratios, whole numbers, and fractions. It provides examples of how differentiated instruction can be implemented in areas like content, process, product, student level, and class level. Specific strategies are presented, such as using different models, acceleration and enrichment, to cater instruction to various student needs and abilities.
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.
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.
This document discusses differentiated instruction in mathematics for ratios, whole numbers, and fractions. It provides examples of differentiated instruction from Singapore and Nanakuli Elementary School in Hawaii. Differentiation can be done through content, process, and product. Differentiation should be done at the student level and class level. Methods include acceleration and enrichment models. Teaching ratio involves word problems and multiplication. Teaching rate and speed also uses word problems and multiplication.
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.
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.
This document provides information about teaching mathematics in primary and secondary schools. It includes sections on introduction, examples, what to teach, and how to teach. Some key points include data showing Singaporean students performing highly on international math tests from the 1960s to 2000s. Tables show Singapore's TIMSS scores in grade 8 mathematics were 611 on average in 2015, with 48% of students scoring as advanced. Rates of students liking and disliking math are also shown for Singapore and other countries. The document also discusses Singapore's introduction of new mathematics textbooks in 1982 and changes to its mathematics curriculum over time.
This document summarizes Singapore's approach to mathematics education. It discusses how Singapore Math emphasizes conceptual understanding through concrete experiences and visual representations. It highlights Singapore's high performance on international assessments like TIMSS and PISA. It also outlines recent developments in Singapore's mathematics curriculum, pedagogy, textbooks, and use of technology and learning support strategies to help all students succeed.
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.
The document discusses IOTA's Higher Order Thinking Skills and Problem Solving Math program. The program aims to develop problem solving and critical thinking skills in primary school students through worksheets, teaching tools, and an e-learning module. It is aligned with Singapore and US Common Core math standards and covers topics from pre-KG through 10th class. Schools that have adopted the program include top Indian schools as well as international schools. The curriculum focuses on modeling techniques, logical methods, and visualization to develop higher-order thinking skills beyond traditional math learning.
The document discusses IOTA Higher Order Thinking Skills and Problem Solving Math (iHOTS), a mathematics program created by an IIT-IIM alumnus. It aims to develop problem solving and critical thinking skills in students from pre-K to 10th grade. The program uses various tools like worksheets, teaching aids, and an e-learning module. It is aligned with Singapore Math and US Common Core standards. Several top schools in India have adopted the iHOTS program. The curriculum covers topics from pattern recognition to complex problem solving using different techniques like modeling, logical methods, and visualization. It prepares students for exams like IIT-JEE and also international exams.
This document summarizes a seminar on the Singapore Math approach. It discusses key concepts like conceptual understanding, variation theory, concrete-pictorial-abstract instruction, and assessment results that show Singapore student performance. Example word problems are provided to illustrate how Singapore Math teaches for understanding over rote memorization.
Teaching of Ratio, Rate and Differentiated InstructionJimmy Keng
This document provides information on differentiated instruction for mathematics incorporating ratios, whole numbers, and fractions. It discusses Singapore's approach to math education in the 1970s which focused on differentiated instruction based on learning theories. It also outlines models of differentiation including differentiating by content, process, product, student level, and class level. Examples are provided on teaching ratios and rates incorporating multiplication and division.
1) The document discusses education in Malaysia, noting that it is a right for all citizens to have access to primary and secondary schooling.
2) It provides statistics on education spending, student enrollment numbers, teacher ratios and test scores which show Malaysia lagging behind other countries like Singapore, South Korea, and Taiwan.
3) The document calls for Malaysians to claim their right to education and raise concerns with members of parliament, suggesting the education budget could be spent more effectively with a focus on critical thinking over memorization.
The document summarizes key aspects of Singapore's mathematics curriculum that has achieved high student performance and positive attitudes towards mathematics. It focuses on developing mathematical problem solving and thinking skills. The curriculum emphasizes concrete, pictorial, and abstract representations of concepts. Assessment is aligned with the curriculum and emphasizes higher-order thinking. As a result, over 40% of Singapore students demonstrate advanced understanding of mathematics compared to an international average of 5%. Students also have relatively high attitudes towards mathematics compared to other high-performing countries.
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.
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
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For more information about PECB:
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Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
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.
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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.
1. ProfessionalDevelopment
singaporemath | The Blake School |13 – 14 June 2013
Yeap Ban Har
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
number sense constructivist approach problem solving computational fluency theoretical
underpinnings differentiated instruction singapore math assessment small
group work multiple strategies journal writing multiple intelligences lesson structure common
core state standards scope and sequence pacing anchor task supplementary materials
homework workbook textbook questioning technique |an overview
4. | Hanusek, Jamison, Jamison & Woessmann 2008
Score 1960-1970s 1980s 1990s 2000s
500’s Japan Hong Kong
Japan
Korea
Hong Kong
Japan
Korea
Singapore
Hong Kong
Japan
Korea
Singapore
400’s Thailand Philippines
Singapore
Thailand
Malaysia
Thailand
Malaysia
Thailand
300’s Indonesia
Philippines
Indonesia
Philippines
5. Country
GDP per capita in
current USD
2012
Singapore 60,400
Malaysia 16,900
Thailand 10,100
Philippines 4,400
“Upon separation from Malaysia in 1965, Singapore
was faced with … high levels of unemployment and
poverty. 70% of Singapore’s households lived in badly
overcrowded conditions, and a third of its people
squatted in slums on the city fringes. Unemployment
averaged 14%, GDP per capita was less than $2,700,
and half of the population was illiterate. “
6. gradefourmathematics
Singapore
South Korea
Hong Kong
Taiwan
Japan
Northern Ireland
Belgium
Finland
England
Russia
International
43
39
37
34
30
24
10
12
18
13
4
78
80
80
74
70
59
50
49
49
47
28
94
97
96
93
93
86
89
85
78
82
69
99
100
99
99
99
96
99
98
93
97
90
606
605
602
591
585
562
549
545
542
542
500
advanced
high
intermediate
low
average
7. South Korea
Singapore
Taiwan
Hong Kong
Japan
Russia
Israel
Finland
United States
England
International
47
48
49
34
27
14
12
4
7
8
3
77
78
73
71
61
47
40
30
30
32
17
93
92
88
89
87
78
68
73
68
65
46
99
99
96
97
97
95
87
96
92
88
75
613
611
609
586
570
539
516
514
509
507
500
advanced
high
intermediate
low
average
gradeeightmathematics
9. In the 1970’s, Singapore needed a way to help
students, most of whom were not performing
well in mathematics, learn mathematics.
CPA Approach based on Bruner’s work and a
host of other learning theories were used to
help students learn. Today, many people refer
to this approach as Singapore Math.
10. Mathematics is “an excellent vehicle for
the development and improvement of a
person’s intellectual competence”.
|Ministry of Education, Singapore (2006)
thinkingschool
learningnations
11. | Ministry of Education, Singapore (1991, 2000, 2006, 2012)
12. ProfessionalDevelopment
singaporemath | The Blake School |13 – 14 June 2013
Yeap Ban Har
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
number sense constructivist approach problem solving computational fluency theoretical
underpinnings differentiated instruction singapore math assessment small
group work multiple strategies journal writing multiple intelligences lesson structure common
core state standards scope and sequence pacing anchor task supplementary materials
homework workbook textbook questioning technique |an overview