"Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. ... The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus."
Abstract: "Human adults from diverse cultures share intuitions about the points, lines, and figures of Euclidean geometry. Do children develop these intuitions by drawing on phylogenetically ancient and developmentally precocious geometric representations that guide their navigation and their analysis of object shape? In what way might these early-arising representations support later-developing Euclidean intuitions? To approach these questions, we investigated the relations among young children's use of geometry in tasks assessing: navigation; visual form analysis; and the interpretation of symbolic, purely geometric maps. Children's navigation depended on the distance and directional relations of the surface layout and predicted their use of a symbolic map with targets designated by surface distances. In contrast, children's analysis of visual forms depended on the size-invariant shape relations of objects and predicted their use of the same map but with targets designated by corner angles. Even though the two map tasks used identical instructions and map displays, children's performance on these tasks showed no evidence of integrated representations of distance and angle. Instead, young children flexibly recruited geometric representations of either navigable layouts or objects to interpret the same spatial symbols. These findings reveal a link between the early-arising geometric representations that humans share with diverse animals and the flexible geometric intuitions that give rise to human knowledge at its highest reaches. Although young children do not appear to integrate core geometric representations, children's use of the abstract geometry in spatial symbols such as maps may provide the earliest clues to the later construction of Euclidean geometry. "
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.
created a fully functional, browser-based graphing calculator. The calculator performs all of the functions you would expect to see in a graphing calculator with a couple of extras that you don't find in typical graphing calculators. Desmos allows you to share your equations and graphs through a Bit.ly link. Desmos graphs your equations as you type them and redraws them as you alter your equations.
Singapore math is more famous around the world in terms of its syllabus and the way questions are being asked in examinations. Check out the important question that every parent should ask.
"SpaceMath@NASA introduces students to the use of mathematics in todays scientific discoveries. Through press releases and other articles, we explore how many kinds of mathematics skills come together in exploring the universe."
I really like this article because of how relatable it is. I want my students to ask questions but getting them to ask them is the tricky part. Encouraging them constantly that they can do it and to ask questions can be exhausting but that's what I want so that they will become confident and improve.
I also love the end of the article were she talks about giving credit for showing work even if the answer is wrong. I do this in my classroom as well because if I see that the student is trying then I can hopefully help them in he future move toward the correct answer.
This is a great article. I run into adults today who when I say I am going to teach math they say "ooh why? Math was alway so hard." And I can admit at times my response it "but it's so easy." Which obviously isn't the greatest response to that. However, they react the same way the article describes, by claiming they aren't "math people" and didn't get it. But every one can learn math (can learn anything for that matter).
Abstract: "We encounter mathematical problems in various forms in our lives, thus making mathematical thinking an important human ability [6]. Of these problems, optimization problems are an important subset: Wall Street traders often have to take instantaneous, strategic decisions to buy and sell shares, with the goal of maximizing their profits at the end of a day's trade. Continuous research on game-based learning and its value [2] [3] led us to ask: can we develop and improve the ability of mathematical thinking in children by guising an optimization problem as a game? In this paper, we present Bublz!, a simple, click-driven game we developed as a first step towards answering our question."
"Studies have linked confusing English number names to weaker arithmetic skills in children. Chinese, Japanese, Korean and Turkish express math concepts more clearly." Also explores how math games at an early age develop appreciation and skills.
An ongoing project at Agnes Scott College in Athens, Georgia, this site features biographies of notable women mathematicians, which you can browse alphabetically, chronologically or geographically.