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How to develop a circle equation in algebraic form when the circle touches the horizontal x-axis and learn how algebra is used in geometry to derive the equation of a circle in algebraic form in mathematics.

Expressing a circle in a standard form expression is defined standard equation of a circle. Imagining a circle in a plane at a particular distance from both axis of the Cartesian coordinate system is the standard form of the circle.

Published 2012 "Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction."

"a weekly activity for students of grades 8 to 12 and post-secondary students. The activities are something beyond classroom traditional in-class and curriculum-based learning. Presentations by Circle members or by invited mathematicians and scientists, discussion about specific topics and solving math problems, puzzles and games; review math/science history and preparation for maths contests and Olympiads are the main activities in the GMC."

This slide show demonstrates some techniques that would be suitable for an experimental geometry project. The basic shapes of square and circle are explored using open source Geogebra and Dr Geo geometry software. The examples includes exercises in geometric construction, novel solutions and recursive (spiral) constructions. This is mathematics that can be done without algebra. There is some algebra on slide 18, to calculate the radius and area of a semicircle inscribed in a square.

When the great mathematician Isaac Newton explained the colours of the rainbow with refraction the poet John Keats was horrified. Keats complained (through poetry of course) that a mathematical explanation robbed these marvels of nature of their magic, conquering "all mysteries by rule and line". But as we will see, the mathematical explanation, requiring just the basic geometry of lines and circles, is just as elegant as the rainbows themselves.

Drawing on culture, creativity and computation in teacher education

If you are interested in inquiry-based learning, problem-solving, family math, or Math Circles, join an online adventure this December! http://www.moebiusnoodles.com/openminds/ Bright, brave, open minds: A problem solving kaleidoscope is a two-week long open online course in problem solving for parents and teachers of 8-9 year old children.

Playing With Math: Stories from Math Circles, Homeschoolers, and Passionate Teachers brings together the stories of over thirty authors who share their math enthusiasm with their communities, families, or students. After every chapter is a puzzle, game, or activity to get you and your kids playing with math too.

"π has fascinated mathematicians, engineers and other people for centuries. It is a mathematical constant that is the ratio of a circle's circumference (C) to its diameter (d); This also explains why and how this number got its name: the lowercase π was first adopted in 1706 as an abbreviation for this number because it is the first letter of the Greek for "perimeter", specifically of a circle." Introduces a video by Numberphile explaining more about the determination of π

Abstract:"Prime Climb is an educational game that provides individual support for learning number factorization skills in the form of hints based on a model of student learning. Previous studies with Prime Climb indicated that students may not always be paying attention to the hints, even when they are justified (i.e. based on a student model's assessment). In this thesis we will discuss the test-bed game, Prime Climb, and our re-implementation of the game which allowed us to modify the game dynamically and will allow for more rapid prototyping in the future. To assist students as they play the game, Prime Climb includes a pedagogical agent which provides individualized support by providing user-adaptive hints. We then move into our work with the eye-tracker to better understand if and how students process the agent's personalized hints. We will conclude with a user study in which we use eyetracking data to capture user attention patterns as impacted by factors related to existing user knowledge, hint types, and attitude towards getting help in general. We plan to leverage these results in the future to make hint delivery more effective."

Encouraging students to use critical thinking is more than an extension activity in science and math lessons, it is the basis of true learning. Teaching students how to think critically helps them move beyond basic comprehension and rote memorization. They shift to a new level of increased awareness when calculating, analyzing, problem solving, and evaluating.

This multimedia resource includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life. The resource addresses the following mathematics topics: Fractions; Integers; Percentages; Rate/Ratio/Proportion; Square Roots; Exponents; Patterns; Algebra; Linear Equations; Polynomials; Angles; Circles; Surface Area and Volume; Area and Perimeter; Triangles; Pythagoras; Trigonometry; Similarity and Congruence; Transformations; Shape Classification; Data Display and Graphs; Central Tendency and Distribution; and Probability.

A great general maths site with lots of tutorials, activities and games which will help your students at school and at home. http://ictmagic.wikispaces.com/Maths

Avoid Hard Work gives a playful view on ten powerful problem-solving techniques. These techniques were first published by the Mathematical Association of America to help high school students with advanced math courses. We adapted the ten techniques and the sample problems for much younger children. The book is for parents, teachers, math circle leaders, and others who work with children ages three to ten. It will come out in the Fall of 2016.