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 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 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 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.
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.
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.
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.
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 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 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 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.
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.
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.
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.
The document provides information about a new math program being adopted for the 2011-2012 school year. It summarizes the program selection process, which included previewing 10 programs, collecting teacher feedback on 3 programs, and ultimately selecting Math in Focus based on alignment to standards, student needs, and teacher preferences. An implementation plan is outlined that will provide training for teachers over the next few years as the program is rolled out across grades K-5.
This document provides an overview of numeracy in the New Zealand curriculum. It covers the three strands of mathematics - number and algebra, geometry and measurement, and statistics. [It discusses how numeracy is assessed using the National Standards.] A typical numeracy lesson involves basic facts practice, learning new strategies in groups, and playing games to reinforce strategies. The document suggests ways parents can support numeracy learning at home, such as practicing basic facts and using educational websites. It then presents instructions for several math games that target different skills like addition, ordering numbers, and making 10.
Singapore Math Overivew Training I for PrincipalsKimberly Beane
The document provides information about math trainings for grades K-3 using the Singapore pedagogy. It includes:
1) Two hours of sessions on Singapore strategies and classroom discussions, and two hours applying the strategies with classroom materials.
2) Overviews of key math concepts including moving from concrete to abstract representations, relational vs instrumental understanding, and using multiple representations of concepts.
3) Examples of models used in Singapore math for grades K-2 like ten frames, number bonds, linking cubes, and base ten blocks.
Tuscan/Jefferson Math Parent Nights Nov. 2013Kimberly Beane
The document provides information about Singapore Math pedagogy used at the school. It discusses key concepts like using manipulatives and visual models to build conceptual understanding from concrete to abstract representations. It also describes strategies like perceptual variability, exposing students to concepts in multiple ways, and relational understanding, teaching relationships between concepts for long-term learning. The document includes sample math problems and tasks as well as the school's instructional plan for math, blocking time for whole group, small group and individual instruction using various resources and technology.
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.
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.
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.
Singapore Math Administrators Symposium NewarkJimmy Keng
The document discusses Singapore's education system and approach to teaching mathematics, known as Singapore Math. It provides background on Singapore's population, economy, and education statistics. The key aspects of Singapore Math are its emphasis on conceptual understanding, concrete experiences, number sense, and visual representation to build proficiency in problem solving.
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.
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.
This document discusses mathematics teacher preparation and professional development in Singapore. It outlines Singapore's approach which includes selecting top students to become teachers, emphasizing pedagogical and content knowledge in pre-service teacher education programs, and providing ongoing professional development for in-service teachers through professional learning communities and 100 hours of training per year. The goal is to develop teachers' capacity to continuously improve their practice and enhance student learning.
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 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.
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.
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.
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 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 provides information about a new math program being adopted for the 2011-2012 school year. It summarizes the program selection process, which included previewing 10 programs, collecting teacher feedback on 3 programs, and ultimately selecting Math in Focus based on alignment to standards, student needs, and teacher preferences. An implementation plan is outlined that will provide training for teachers over the next few years as the program is rolled out across grades K-5.
This document provides an overview of numeracy in the New Zealand curriculum. It covers the three strands of mathematics - number and algebra, geometry and measurement, and statistics. [It discusses how numeracy is assessed using the National Standards.] A typical numeracy lesson involves basic facts practice, learning new strategies in groups, and playing games to reinforce strategies. The document suggests ways parents can support numeracy learning at home, such as practicing basic facts and using educational websites. It then presents instructions for several math games that target different skills like addition, ordering numbers, and making 10.
Singapore Math Overivew Training I for PrincipalsKimberly Beane
The document provides information about math trainings for grades K-3 using the Singapore pedagogy. It includes:
1) Two hours of sessions on Singapore strategies and classroom discussions, and two hours applying the strategies with classroom materials.
2) Overviews of key math concepts including moving from concrete to abstract representations, relational vs instrumental understanding, and using multiple representations of concepts.
3) Examples of models used in Singapore math for grades K-2 like ten frames, number bonds, linking cubes, and base ten blocks.
Tuscan/Jefferson Math Parent Nights Nov. 2013Kimberly Beane
The document provides information about Singapore Math pedagogy used at the school. It discusses key concepts like using manipulatives and visual models to build conceptual understanding from concrete to abstract representations. It also describes strategies like perceptual variability, exposing students to concepts in multiple ways, and relational understanding, teaching relationships between concepts for long-term learning. The document includes sample math problems and tasks as well as the school's instructional plan for math, blocking time for whole group, small group and individual instruction using various resources and technology.
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.
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.
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.
Singapore Math Administrators Symposium NewarkJimmy Keng
The document discusses Singapore's education system and approach to teaching mathematics, known as Singapore Math. It provides background on Singapore's population, economy, and education statistics. The key aspects of Singapore Math are its emphasis on conceptual understanding, concrete experiences, number sense, and visual representation to build proficiency in problem solving.
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.
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.
This document discusses mathematics teacher preparation and professional development in Singapore. It outlines Singapore's approach which includes selecting top students to become teachers, emphasizing pedagogical and content knowledge in pre-service teacher education programs, and providing ongoing professional development for in-service teachers through professional learning communities and 100 hours of training per year. The goal is to develop teachers' capacity to continuously improve their practice and enhance student learning.
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 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.
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.
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.
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 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 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.
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 discusses Singapore Math and teacher preparation. It focuses on the approach of Singapore Math, which emphasizes problem solving, conceptual understanding, and thinking. It outlines the framework for preparing teachers to teach mathematics in this way, which includes having teachers learn content conceptually and the corresponding pedagogical knowledge. Courses in Singapore help teachers develop as learners and observers by giving opportunities to study math lessons.
Similar to Administrators Symposium at East Brunswick (20)
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.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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 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.
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...Diana Rendina
Librarians are leading the way in creating future-ready citizens – now we need to update our spaces to match. In this session, attendees will get inspiration for transforming their library spaces. You’ll learn how to survey students and patrons, create a focus group, and use design thinking to brainstorm ideas for your space. We’ll discuss budget friendly ways to change your space as well as how to find funding. No matter where you’re at, you’ll find ideas for reimagining your space in this session.
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 Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
1. Experiencing
Singapore Math
Experiencing Singapore Math
Newark East Brunswick
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
2. Experiencing
Singapore Math
Land
270 sq miles
People
introduction 4.7 million
GDP per capita
1965 USD510
2010 USD43,300
in current USD
Junyuan Secondary School,
Singapore
4. General Overview of Singapore and
its Education System
Students
500 000
Teachers
30 000
Principals & Vice-Principals
900
Schools
173 Primary Schools (Primary 1 – 6)
155 Secondary Schools (Secondary 1 – 4)
13 Junior Colleges (JC 1 – 2) Canossa Convent Primary School,
15 Mixed-Level Schools Singapore
The data refers to 1-12 school system. Pre-school is not part of the formal education
system. The data excludes post-secondary education system which includes institutes
of technical education, polytechnics and universities.
5. High achievement was not a given. In
1960, among 30 615 candidates who
sat for the first Primary School Leaving
Examination, 45% of the candidates
passed.
Keon Ming Public School, Singapore
6. Experiencing
Singapore Math
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 Japan Japan Japan
Korea Korea Korea
Hong Kong Singapore Hong Kong
Hong Kong Singapore
400 Thailand Singapore Malaysia Malaysia
Thailand Thailand Thailand
The Philippines
300 Indonesia Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
7.
8. "Solving problems is central to mathematical proficiency
and is articulated to a varying degree across the
international curricula. Singapore applies the highest
degree of specificity to it, placing it at the centre of all
mathematical learning.“
Review of the National Curriculum in England Research Report
UK Department for Education
9. Experiencing
Singapore Math
1982
Introduction of Singapore mathematics
textbooks as they are known today.
Mathematics is “an excellent
vehicle for the development
1992 and improvement of a person’s
Introduction of Problem- intellectual competence”.
Solving Curriculum Ministry of Education Singapore 2006
1997 2001
Thinking Schools Introduction of textbooks published by
Learning Nation private publishers and approved by
Ministry of Education.
2007
New editions of textbooks are
published with the introduction of the
revised curriculum.
Page 1
11. Experiencing
Singapore Math
Experiencing Singapore Math
Spiral Approach
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
18. One day, 543 cars and 274 buses pass through a toll booth.
How many cars and buses pass through the toll booth?
Math in Focus Grade 2
cars 543
buses 274
543 + 274 =
cars buses
543 274
21. Experiencing
Singapore Math
Experiencing Singapore Math
Visual Approach
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
29. Experiencing
Singapore Math
3x – 2 = 8
Globe Academy, London
30. Experiencing
Singapore Math
Experiencing Singapore Math
Initial Concrete Experiences & Building Conceptual Understanding
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
31. Experiencing
Singapore Math
Relational
Understanding
R Skemp
what & how Concrete
Introduction
J Bruner
Junyuan Secondary School,
Singapore
Page 08
Page 13
32. Experiencing
Singapore Math
Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
Page 5
52. Experiencing
Singapore Math
Da Qiao Primary School, Singapore
53. Experiencing
Singapore Math
Primary Mathematics (Third Edition)
See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in
Singapore Primary School Mathematics Textbooks. Paper presented at PME-35
Angkara, Turkey.
See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in
Singapore on Higher-Order Thinking Skills. Paper presented at International
Conference on School Mathematics Textbooks Shanghai, China.
54. Experiencing
Singapore Math
Visuals are used to
teach concepts –
distributive property of
multiplication – without
using formal terms.
Primary Mathematics (Third Edition)