Objectives:
1. Examine key considerations regarding the teaching and learning of mathematics.
2. Understand how mathematics skills are organized for teaching and learning.
3. Access mathematics resources.
The workshop will provide middle level mathematics teachers with ideas for engaging students in the understanding of math concepts and the creative aspects of mathematics topics in the 6-8 curriculum. The workshop will be hands-on and based upon a constructivist approach to learning and teaching. Handouts will be provided.
Presenter(s): Shirley Disseler
Objectives:
1. Examine key considerations regarding the teaching and learning of mathematics.
2. Understand how mathematics skills are organized for teaching and learning.
3. Access mathematics resources.
The workshop will provide middle level mathematics teachers with ideas for engaging students in the understanding of math concepts and the creative aspects of mathematics topics in the 6-8 curriculum. The workshop will be hands-on and based upon a constructivist approach to learning and teaching. Handouts will be provided.
Presenter(s): Shirley Disseler
Creating opportunities to develop algebraic thinking and enhancing conceptual understanding of mathematics is essential at every grade level. In this webinar, Math/Technology Curriculum Specialist Aubree Short explored the use of problem solving methods and hands-on manipulatives to guide students in the discovery of algebraic concepts at all levels of learning.
Assessing Learning Competencies is one of the major challenges that teachers encounter in the classroom.
This presentation aims to illustrate how its done through its application in the learners Activity.
Creating opportunities to develop algebraic thinking and enhancing conceptual understanding of mathematics is essential at every grade level. In this webinar, Math/Technology Curriculum Specialist Aubree Short explored the use of problem solving methods and hands-on manipulatives to guide students in the discovery of algebraic concepts at all levels of learning.
Assessing Learning Competencies is one of the major challenges that teachers encounter in the classroom.
This presentation aims to illustrate how its done through its application in the learners Activity.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
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.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Ame sms conference 2013 problem solving and posing as context for development (for students)
1. Problem Solving and Posing as
Context for Developing
Mathematical Habits of Mind
Adapted from Dr Hang Kim Hoo
2. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
“Using Geometry to demonstrate how problem solving and
problem posing can be integrated naturally to explicate
mathematical reasoning and develop
productive habits of mind in learning and doing
mathematics…”
3. Hierarchy of Developmental Stages
Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
LEVEL 4 • Formal Deduction
• Proving and confirming results
LEVEL 3
Third Concept
LEVEL 1
LEVEL 2
• Informal Deduction
• Looking for and establishing relationships,
conjecturing
• Recognition
• Concrete experiences
• Analysis
• Describing and making sense of
experiences
5. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
A
B C
DE
Given AB = AC = 4 cm and BCDE is a square, find the area of
triangle ABE.
6. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
A
B C
DE
Given AB = 3cm, AC = 4 cm and BCDE is a square, find the
area of triangle ABE.
7. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
A
B C
DE
The figure shows an equilateral triangle ABC and a square
BCDE.
Find…
8. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
A
B C
DE
The figure shows two equilateral triangles ABC and CDG and
a square BCDE. Show that the points E, A and G are on the
same line.
G
9. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
A
B C
DE
The figure shows two equilateral triangles ABC and CDG and
a rectangle BCDE. Show that the triangles BCD and ACG are
congruent.
G
10. Problem Solving and Posing as Context for
Developing Mathematical Habits of Mind
• Focus on the generative nature in the engagement
with Mathematics…
• Through generating “new questions, students are able to
connect the contents together and spur further
exploration…
