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.
Yeap Ban Har gave the Opening Keynote and the Closing Keynote on the first day. He also taught one Core Elective on using bar models to solve challenging problems.
This course is in two parts. Today we focus on pre-fraction ideas i.e. ideas learnt in the early grades which are important in the learning of fraction as well as basic concept of fractions. We will also examine fraction topics typically taught in lower primary levels i.e. grades one to three.
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.
This session focuses on studying students' responses. We did the responses of Grade 5 students in using bar models. There are materials for further study involving Grade 3 students doing Singapore Math outside Singapore.
This is a summary of the discussion on Day 1. This is the fifth class organized by MOE Singapore for local kindergarten teachers. MCI offers early childhood courses with emphasis on mathematics and science.
Powerpoint from a NCTM 2012 National Conference session. Because it was an interactive session, the powerpoint isn't too exciting, but it does have links to most of the online tools and apps that we demonstrated in the session.
Today we focused on the spiral approach and enrichment activities. The three-day programme covers the fundamentals of Singapore Math as well as it theoretical underpinnings and participants get to do a bit of model drawing.
Yeap Ban Har gave the Opening Keynote and the Closing Keynote on the first day. He also taught one Core Elective on using bar models to solve challenging problems.
This course is in two parts. Today we focus on pre-fraction ideas i.e. ideas learnt in the early grades which are important in the learning of fraction as well as basic concept of fractions. We will also examine fraction topics typically taught in lower primary levels i.e. grades one to three.
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.
This session focuses on studying students' responses. We did the responses of Grade 5 students in using bar models. There are materials for further study involving Grade 3 students doing Singapore Math outside Singapore.
This is a summary of the discussion on Day 1. This is the fifth class organized by MOE Singapore for local kindergarten teachers. MCI offers early childhood courses with emphasis on mathematics and science.
Powerpoint from a NCTM 2012 National Conference session. Because it was an interactive session, the powerpoint isn't too exciting, but it does have links to most of the online tools and apps that we demonstrated in the session.
Today we focused on the spiral approach and enrichment activities. The three-day programme covers the fundamentals of Singapore Math as well as it theoretical underpinnings and participants get to do a bit of model drawing.
Slide show presented by Ms. Rochelle M. Razo in Education is Hope's “Singapore Math: Meeting the Needs of the 21st Century
in the Context of the K-12 Curriculum” held last May 26, 2012 at the SEAMEO Innotech, Commonwealth Ave. Philippines.
This was presented at the NCTM Annual Meeting and Exposition. It provides participants with features of math program that make mathematics accessible to average and struggling learners.
This is part of the professional development for the team that translate My Pals Are Here into Dutch and also people who are going to provide professionald evelopment for teachers using Singapore textbooks in the future.
MCI-Worchester State University Singapore Math Summer InstituteJimmy Keng
EarThis is a Singapore-style teacher professional development taught by a team of Singapore educators, led by Dr Yeap Ban Har, and supported by US mathematics professors who are well-versed with Singapore Math, led by Dr Richard Bisk. No other summer institutes in the US offers a comprehensive professional development such as this one. 6-8 July 2011 at Worchester State University.
Teacher Effectiveness Impacts Student Success in PreK and Kindergarten MathETA hand2mind
Core PD 'Where's the Math?' course on early childhood math professional development, by Juanita V. Copley, Ph.D., focuses on equipping teachers with the content knowledge and instructional strategies to ensure that young children encounter good mathematics instruction in their early years of schooling.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
1. Singapore
Singapore Math in Colorado, USA
Math
& Teacher
Preparation
plenary lecture Dr. Yeap Ban Har
MTAP (Tertiary Chapter)
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
www.banhar.blogspot.com
2. Singapore This lecture focuses on the
whats and hows of Singapore
Math Math and the implications on
teacher preparation.
& Teacher
Preparation
Singapore Math in Hawaii, USA
plenary lecture
www.banhar.blogspot.com
3. Singapore In particular, the role of
mathematics in developing
Math thinking as well as conceptual
understanding, and the
& Teacher central role of problem
Preparation solving are discussed.
www.banhar.blogspot.com
4. Kranji Secondary School, Singapore
Singapore
Math
& Teacher
Preparation A framework for teacher
preparation to teach
mathematics in this
particular way is outlined.
www.banhar.blogspot.com
5. Singapore Math in The Netherlands
Singapore
Math
& Teacher
Preparation
Singapore Math
www.banhar.blogspot.com
10. Example 1
How many ½ are there in ¾ ?
Prospective teachers must
have a conceptual
understanding of the
content they teach. They
also need the
corresponding
pedagogical knowledge
e.g. using concrete
representation and pictorial
representation to help
students access abstract
12. Example 2
Find the value of 51 3.
Prospective teachers must
understand mathematical
variability and perceptual
variability of the mathematics
skill / concept they teach.
What is the emphasis when the
lesson shift from 21 3 to 51 3?
What is the difference between
using base ten block and coins to
13.
14.
15.
16. Theoretical Underpinnings of Singapore Math
Jerome Bruner
• Spiral Approach
• CPA Approach
Zoltan Dienes
• Variability
Richard Skemp
• Relational Understanding
Article on Relational Understanding
41. Certificate in Mathematics
Teaching (120 h)
Course for Math
Marshall Specialists (40 h)
Cavendish
Institute Course for Math Coaches
(40 h)
Course for Graduate
Research (40 h)
42. Pedagogy for Teacher
Preparation
where mindset is
changed,knowledge is constructe
and the ability to learn, enhanced
43. Pedagogy for
Teacher
Preparation
Teachers as Learners
44. Pedagogy for
Teacher
Preparation
Teachers as Observers
45. Find the distance
between two given
points.
Bina Bangsa School, Jakarta
Singapore Math
courses for teachers
provides opportunities
for teachers to ‘study’
lessons.
46. 1st Block 4x2x1
2nd Block 4x2x3
3rd Block
Victory Christian International
School, Manila
Singapore Math
courses for teachers
provides opportunities
for teachers to ‘study’
lessons.
47. Pedagogy for
Teacher
Preparation
Textbooks are written to embody the
learning theories and emphasis of
mathematics learning. Teachers learn
mathematics and how to teach mathematics
from the textbooks.