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Largest database of question and answers on Aptitude and Reasoning covering Non Verbal Reasoning, Verbal Reasoning Logical Deduction, Verbal Reasoning Mental Ability, Quantitative Aptitude Arithmetic Ability, Quantitative Aptitude Data Interpretation.

From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."

"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"

Great site for having students calculate some proportions and develop proportional reasoning from a variety of contexts. Based in KY but can still connect to many students. 

Study of two Indian tribes, one a partilineal society, the other matrilineal, to discover ability to solve a spatial reasoning task

A review of Paul Lockhart's new book with a focus on mathematical reasoning and geometry, with a video of the author.

Research study at Michigan State University shows how developing spatial reasoning in young children (6-8) improves calculation

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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."

Live recording of a webinar presented in August 2012 by Sarah DeLeeuw and Patrick Vennebush from the National Council of Teachers of Mathematics

"A talking mat to encourage reasoning in maths lessons through oracy. The mat features a range of sentence stems to guide children."

From the abstract (full text requires subscription or purchase): "Though cooperative learning has been a topic of considerable interest in educational research, there has been little study specific to learning in the mathematics content area of geometry. This paper seeks to address that gap through a design experiment featuring a novel small-group computing environment for supporting student learning about quadrilaterals. In this design, each student controls a unique point in a shared geometric space, and those points are linked such that a group of four students collectively forms a quadrilateral. We first present results from pre- and post-measures to show how the students learned from the activities and developed in terms of geometric reasoning. We then present three episodes, elaborated with the notion of appropriation, to explain how students took up ways of using the technological tools and of talking about geometric concepts from one another in the interactive environment. Our study found that students achieved learning gains in this novel environment, that the environment provided rich opportunities for peer interaction around geometric objects, and that student learning opportunities and interactions were characterized by processes of appropriating ways of talking about and using software features."

So simple, but soooo fun and develops spatial reasoning skills and perspective

I know that this was already shared with the math group, but this is to the main site. Not just the PDF file. These are videos to help put reasons behind why we would learn math concepts and what are they related to. I think they can also serve as a good model for student math projects.

Eliminating math misconceptions is difficult and merely repeating a lesson or extra practice will not help. Telling students were they are mistaken will not work either. Recognizing student misconceptions and immediately focusing on the misconception is important. Providing guiding questions using inductive reasoning is the best approach, along with the use of writing prompts which help reveal further student misconceptions.

Why use Web 2.0 tools in science and math classes? The primary reason is they facilitate access to input and interaction with content through reading, writing, listening, and speaking. These tools offer enormous advantages for science and math teachers, in terms of helping their students learn using Web 2.0 tools. For example: * Most of these tools can be edited from any computer connected to the Internet. Teachers can add, edit and delete information even during class time. * Students learn how to use these tools for academic purposes and, at the same time, can transfer their use to their personal lives and future professional careers. * RSS feeds allow students to access all the desired research information on one page. * Students learn to be autonomous in their learning process.

LiveBinders is a web 2.0 tool which provides the ability to save and organize materials for your science or math class. The great thing about this free tool is that you can update the resources instantly to ensure your lessons include the latest ideas, tips, and resources in science and math.

This is a compilation of Karl's Transparent Algebra posts. He does such an incredible job of making his thinking visible for all of us in how he is planning his course for the upcoming year. I share it because I think it's a valuable example of a reflective practitioner and worth sharing. If you have any teachers who might benefit from reading some of his reasoning, I encourage you to send them to his blog!

Schlumberger Excellence in Educational Development, Inc. (SEED) offers creative math puzzles, with solutions. Puzzle categories include: * Number Sense * Arithmetic * Probability * Algebraic Thinking * Geometry, Spatial Reasoning, and Visualization * Topology * Logic * Combinatorics * Miscellaneous

"Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving" by Sanjoy Mahajan, published in 2010. "Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool-the general principle-from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest." Available as a free download (Creative Commons License), .pdf): http://mitpress.mit.edu/books/full_pdfs/Street-Fighting_Mathematics.pdf