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This wikispace has been designed to help mathematics teachers and teacher leaders examine effective mathematics instruction, as outlined in the book Accessible Mathematics: Ten Instructional Shifts that Raise Student Achievement by Steven Leinwand. The suggestions are intended to serve as sample activities and discussion prompts for preparing all mathematics teachers to plan, teach, assess, and promote a mathematical learning environment that is considered "Common Core-ready."

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here. On our website you will find thousands of our free mathematics enrichment materials (problems, articles and games) for teachers and learners from ages 5 to 19 years. All the resources are designed to develop subject knowledge, problem-solving and mathematical thinking skills. The website is updated with new material on the first day of every month. For guidance on how to find the right resources for you, go to the Help section of the site.

Mathematics and Multimedia GeoGebra Step-by-Step Tutorial SeriesThe objective of the GeoGebra Step-by-Step Tutorial Series is not only to teach the readers how to use the software, but also to suggest how to use GeoGebra in teaching and learning mathematics. Most of the tutorials are (or will be) linked to related articles containing explanations and proofs about the mathematics discussed in the tutorials.

What mathematical competencies must a teacher have to teach the subject well? This has proven difficult to investigate (1). A current view is that teachers' knowledge of mathematics "remains inert in the classroom unless accompanied by a rich repertoire of mathematical knowledge and skills relating directly to the curriculum, instruction, and student learning" (2). Unfortunately, there is no consensus on which "knowledge and skills" might activate teachers' inert knowledge. Two perspectives prevail, neither with a research base that enables strong claims about practice. The majority of current studies focus on explicit knowledge of curriculum content and instructional strategies. Such knowledge might be assessed directly through observation, interview, or written test (2), with a parallel research emphasis on the formal contents of teacher education programs [e.g., (3)]. A second school of thought, presented here, is that the most important competencies tend to be tacit, like skills involved in playing concert piano, learned but not necessarily available to consciousness.

"Initial thoughts on "Focus in High School Mathematics: Reasoning and Sense Making" The book study begins!" Book study post on the new NCTM Series "Focus in High School Mathematics: Reasoning and Sense Making"

Plus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics.  Interesting topics and free for now. Take advantage of the short topics to have students reading in mathematics and even some science topics!

"In this article we introduce the free educational mathematics software GeoGebra. This open source tool extends concepts of dynamic geometry to the fields of algebra and calculus. You can use GeoGebra both as a teaching tool and to create interactive web pages for students from middle school up to college level. Specifically designed for educational purposes, GeoGebra can help you to foster experimental, problem-oriented and discovery learning of mathematics. We will illustrate the basic ideas of the software and some of its versatile possibilities by discussing several interactive examples."

Great mathematics blog from a young Filipino mathematician, Guillermo Bautista Jr. He does a very nice job of making the mathematics accessible through digital media. He discusses a very wide variety of topics. 

s a software tool for detecting equations and hidden mathematical relationships in your data. Its primary goal is to identify the simplest mathematical formulas which could describe the underlying mechanisms that produced the data. Eureqa is free to download and use.

Importance of language development in learning mathematics. Supports the mathematical literacy approach utilized in CTL's ALM.

Partnership between Uof Nottingham and Cal Berkeley to design and develop well-engineered assessment tools to support US schools in implementing the Common Core State Standards for Mathematics (CCSS).Funding is provided by the Bill and Melinda Gates Foundation through the University of California, Berkeley.

Discusses the differences in how you read differnt kinds of text with a focus on the processes you use when reading mathematics text.

Interesting Mathematics Partnership site that has some tested examples from lesson study groups. Also, some information on CBAM. 

A little synopsis of research into mathematical discourse

Interesting article from Britain regarding computational fluency. I don't disagree that being fluent with computation increases a students future capabilities, but there is not necessarily causal effect that 'traditional' approaches to teaching computation make stronger mathematics students. It's the rigorous approach that I think needs to be emphasized. 

Great resource for STEM topics that are up to date, short, contain data and information. Highly suggested for mathematics and science teachers.

From Glencoe, some IWB looking mathematics manipulatives including color counters, algebra tiles, protractors, ruler, etc. that can be manipulated either on the computer of on the IWB screen.

Always looking for resources that help math teachers think about how to promote learning in the classroom. This synopsis of formative assessment research starts with Wiliam and Black, "Inside the Black Box" from 1998 and progresses forward from there. Some nice specific tasks that are supported by links to examples.

Concept of Whole Numbers in Arithmetic and know the purpose of whole numbers and understand how to use them in mathematics and also know the method of representing the whole numbers in mathematical language.