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LOG IN February 22, 2012 at 2pm Eastern US time: http://tinyurl.com/math20event During the event, John Mason will lead a conversation about multiplication as scaling, and answer questions about his books, projects and communities. All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events The recording will be at: http://mathfuture.wikispaces.com/JohnMason Your time zone: http://bit.ly/wQYN1Y Event challenge! What good multiplication tasks about scaling do you know? Share links and thoughts! John writes about elastic multiplication: "It is often said that 'multiplication is repeated addition' when what is meant is that 'repeated addition is an instance of multiplication'. I have been developing some tasks which present 'scaling as multiplication' based around familiarity with elastic bands. Participants would benefit from having an elastic (rubber) band to hand which they have cut so as to make a strip; wider is better than thinner if you have a choice." About John Mason John Mason has been teaching mathematics ever since he was asked to tutor a fellow student when he was fifteen. In college he was at first unofficial tutor, then later an official tutor for mathematics students in the years behind him, while tutoring school students as well. After a BSc at Trinity College, Toronto in Mathematics, and an MSc at Massey College, Toronto, he went to Madison Wisconsin where he encountered Polya's film 'Let Us Teach Guessing', and completed a PhD in Combinatorial Geometry. The film released a style of teaching he had experienced at high school from his mathematics teacher Geoff Steel, and his teaching changed overnight. His first appointment was at the Open University, which involved among other things the design and implementation of the first mathematics summer school (5000 students over 11 weeks on three sites in parallel). He called upon his experience of being taught, to institute active-problem-solving sessions, w

Math has always been easy for me but it wasn't until I started taking classes to get my teaching certificate that I came to truly love math. Both my mom and dad loved to play card and board games. They taught my sister and I many mathematical concepts while playing these games without even realizing it. Puzzles and patterns, statistics and probability were daily conversations. Then came school. Math was nothing but numbers written on paper. Easy to do but very boring and seemingly unrelated to life. Breezing through each worksheet, page of math problem and even finishing the 7th grade math book mid-year, math became a hated subject to be put aside as quickly as possible. I vowed that the day I graduated from high school would be the last day I ever took a math class. I succeeded in that goal all through college but when I wanted to get my Elementary Teaching Certificate the state of Vermont had other ideas. So I signed up for a summer class in teaching math.

Darren challenged us to identify topics of interest last month and I responded that I would love to share some algebraic reasoning information.

interweaving content and pedagogy in teaching and learning to teach knowing and using mathematics.pdf

Interweaving Content and Pedagogy in Teaching and Learning to Teach: Knowing and Using Mathematics

Abstract:"This paper discusses the results of a pilot st udy that explored how prospective secondary school teachers are shaped by learni ng experiences during their undergraduate mathematics education. The collabora tive study, which was conducted by a mathematician and a mathematics educator, dr ew from the experiences of prospective teachers in a non-traditional undergraduate ma thematics program that makes extensive use of technology. Analysis of data collect ed from detailed questionnaires, journals, and focus group discussions strongly suggests that designing, implementing, and testing Learning Objects promotes prospective teache rs' learning of the mathematics needed for teaching. Furthermore, the analysis shows t hat prospective teachers' experiences of ownership, engagement, and pride are key to positive learning experiences. "

"Mastery - an approach to teaching maths commonly used in East Asian countries - can significantly benefit children in UK schools, a University of Exeter academic has found. The independent research, conducted by the Oxford University Department of Education, is the first academic study to show this teaching method, now supported by the UK Government, can be effective."

LOGIN: http://tinyurl.com/math20event Mind the Daylight Saving Time! Geoff Roulet and Jill Lazarus will discuss their use of wikis, GeoGebra and Jing with students, and invite participants for an extended DIY exploration. More details concerning the software required are below. All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events The recording will be at: http://mathfuture.wikispaces.com/SupportingCollaborativeMath Your time zone: http://bit.ly/z69yzS About Blended Mathematical Collaboration using a Wiki, GeoGebra and Jing This discussion centers on the use of computer tools in a high school class. The goal was to develop a "math-talk learning community" to establish mathematics communication and collaboration as a classroom norm. In support of this we have combined the use of a wiki, GeoGebra, and Jing. We would like to invite educators who have experience with wikis, GeoGebra and screencasts, or who would like to learn more, to discuss our project and share their ideas. Event Hosts Geoff is the skipper of and Jill a crew member on Jeannie, a J35 racing yacht. When not sailing, they are mathematics educators. After graduate work at the University of Waterloo, Geoff Roulet began teaching mathematics, computer science, and chemistry at Roland Michener Secondary School in Timmins, northern Ontario. In the late 1970s, when personal computers for computer science were placed in the back of his classroom, Geoff began using these to support student learning in mathematics. Since then he has been involved in ICT use in teaching and learning at all grades and in all subjects, but with a particular focus on mathematics. Teaching was followed by a short spell of curriculum development and support work with the Ontario Ministry of Education and then in 1990 a move to the Faculty of Education, Queen's University at Kingston. Along the way Geoff completed M.Ed. and D.Ed. degrees at the Ontario Institute for Studies

Flipping a classroom is not a teaching technique, it is more in line with a philosophy or way of teaching. It involves using technology as a tool, not the main focus, for helping students increase their understanding of science or math concepts.

Abstract: "This research seeks to look into the design process that promotes the development of an educational computer game that supports teaching and learning processes. The research specifically looks at the design of an educational computer game for teaching and learning of the topic of functions. The topic is essential in the teaching and learning of Mathematics courses such as Discrete Mathematics, Real Analysis and Calculus among others at Jomo Kenyatta University of Agriculture and Technology (JKUAT) Kenya. The computer game was developed using the Basic Unified process (BUP) which is a streamlined version of the rational unified process (RUP). This is an object oriented methodology mostly used for small projects with few end users. Due to the few numbers of end users we used interview method of data collection to gather requirements for the computer game. A paper prototype was used to validate the requirements. Use cases were used for both analysis and design of the game while Class diagrams and activity diagrams were purely used for the design of the game. Owens' six top level design anatomy aided in the design of the computer game. The overall computer game design was based on Crawfords' computer game design sequence model. The well designed and developed game met all its user requirements and was able to facilitate the teaching and learning of functions to Bachelor of Science in Mathematics and Computer Science students who were taking Discrete mathematics in their first year of study at JKUATs' Taita/Taveta campus. Development of heuristics for measuring interest, fun and motivation are recommendations given to aid in the evaluation of user satisfaction of educational computer games."

Abstract: "The purpose of this chapter is to provide pedagogical strategies and discuss ideas about teaching mathematics using GeoGebra that promote effective use of visualization in a technology-integrated dynamic environment. The author describes his work with prospective secondary mathematics teachers enrolled in a methods course. The results of the study revealed that their perspectives on teaching and learning mathematics with technology were enriched as they worked individually and in small groups to develop and present lessons with GeoGebra, suggesting that creating a collaborative environment for our prospective teachers is as important as incorporating dynamic mathematics software into our teacher education courses." (Full text requires subscription or purchase)

From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.

Teaching math to elementary students is critical for establishing a foundation of success in mathematics. There is a need for some basic memorization of facts, because students who do not memorize arithmetic functions struggle in upper grades. However, math must be fun and interesting, along with making connections with real-world applications.

Teaching Algebra is always a challenge with students, because it is procedural driven and typically taught without any connection to the real-world.

The following is a common question heard around teacher workrooms, teacher lunchrooms, faculty meetings, and science or math conferences. "Why use web 2.0 tools when teaching science or math?" The answer is both simple and complex at the same time.

Why Teaching Mathematics is So Hard The Realities of Teaching Mathematics in the Modern World (Distilled from overhead transparencies)

"A consortium of education organizations will be developing an online repository of classroom videos to help new teachers learn from master instructors how to teach math and science topics in third through sixth grades. The video repository is part of a project funded by a $3 million grant from the United States Department of Education and includes participants from Stanford University and the American Association of Colleges for Teacher Education (AACTE), as well as the Teacher Performance Assessment Consortium (TPAC), which AACTE helps to operate."

Abstract: "In spite of the efficacy of Operations Research (OR), its tools are still underused, due to the difficulties that people experience when describing a problem through a mathematical model. For this reason, teaching how to approach and model complex problems is still an open issue. A strong relation exists between (video) games and learning: for this reason we explore to which extent (real time) simulation video games could be envisaged to be an innovative, stimulating and compelling approach to teach OR techniques."

A site from the US with a superb collect of professional development videos for teachers to improve their skills and knowledge of teaching and learning in a range of areas and subjects. http://ictmagic.wikispaces.com/Video%2C+animation%2C+film+%26+Webcams

Your students' future and education needs are not like yours and mine. For the most part, we are a product of an education system heavily influenced by the industrial age - lectures and rote memorization. This style of teaching was primarily designed to produce factory and skilled trade workers.

Interactive whiteboards (IWB) allow science and math teachers to teach multi-sensory lessons, seamlessly jumping from one type of media to another. Interactive science or math lessons can easily integrate text, sound, video, and graphics based on the tactile nature of the IWB.

The iPod Touch brings a new dimension to teaching and learning in the science or math classroom - Mobile Learning! No longer are students required to only learn within the confines of their classroom when using this digital tool.