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THINKING MATHEMATICS 1: Arithmetic_Gateway to All de James Tanton. Cows. Exploding Dots. Here is a story that isn’t true: When I was a young child I invented a machine (not true) that was nothing more than a series of boxes that could hold dots.

Exploding Dots

And these dots would, upon certain actions, explode. And with this machine, in this non-true story, I realized I could explain true things! In one fell swoop I explained all the mathematics of arithmetic I learnt in grade school (true), all of the polynomial algebra I was to learn in high-school (true), elements of calculus and number theory I was to learn in university (true), and begin to explore unanswered research questions intriguing mathematicians to this day (also true)!

Let me share this story with you. FLASH NEWS! A Fantasy K to 12 Math Curriculum – Sunil Singh – Medium. …There is no life I know to compare with pure imaginationLiving there you’ll be free if you truly wish to be… Ed Frenkel once referred to mathematics representing “freedom”.

A Fantasy K to 12 Math Curriculum – Sunil Singh – Medium

Trying to synch Willy Wonka’s idea of imagination, it seems the nexus of these two ideas would — should — involve unbounded creativity. SolveMe Puzzles. Courses - Natural Math. 5 Games For Building Logic. 1.1 Base Machines. OPENING COMMENT: The entire text to this Exploding Dots course appears in the COMPANION GUIDE to the course.

1.1 Base Machines

Plus ALL THE SOLUTIONS to the questions asked throughout this course, and some additional material, appear in it too. Check out the “Guides and Solutions” section at the home page. Here is a story that isn’t true. When I was a young child I invented a machine. Algebraic thinking. Developing algebraic ideas and language Number tricks are fun for children.

Algebraic thinking

The fun, all by itself, is valuable, but is not mathematics. But understanding how the trick works is good mathematical, often algebraic, learning. Week of Inspirational Math. Math Teachers Should Encourage Their Students to Count Using Their Fingers in Class. A few weeks ago I (Jo Boaler) was working in my Stanford office when the silence of the room was interrupted by a phone call.

Math Teachers Should Encourage Their Students to Count Using Their Fingers in Class

A mother called me to report that her 5-year-old daughter had come home from school crying because her teacher had not allowed her to count on her fingers. This is not an isolated event—schools across the country regularly ban finger use in classrooms or communicate to students that they are babyish. This is despite a compelling and rather surprising branch of neuroscience that shows the importance of an area of our brain that “sees” fingers, well beyond the time and age that people use their fingers to count. In a study published last year, the researchers Ilaria Berteletti and James R. Booth analyzed a specific region of our brain that is dedicated to the perception and representation of fingers known as the somatosensory finger area. Multiplication Explorers Online Course - Natural Math.

Fold punch and cut.pdf. Joel David Hamkins. My recent talk, Playful Paradox with large numbers, infinity and logic, was a romp through various paradoxical topics in mathematics and logic for an audience of about 150 mathematics and philosophy undergraduate students at Fudan University in Shanghai, and since Fudan is reportedly a top-three university in China, you can expect that the audience was sharp.

Joel David Hamkins

For a bit of fun, and in keeping with the theme, we decided to hold a Largest-Number Contest: what is the largest number that one can describe on an ordinary index card? My host Ruizhi Yang made and distributed announcement flyers for the contest a week before the talk, with a poster of the talk on one side, and a description of the contest rules on the other, and including a small card to be used for submissions.

How to Make a Flexagon - Geometric Toys to Make. What you will make: Learn how to make a flexagon, a most fascinating geometric toy!

How to Make a Flexagon - Geometric Toys to Make

It looks like an ordinary paper hexagon with a front and a back, but hidden inside is a third side (or face) that can be brought to the outside by flexing the paper. Flexagons are folded paper polygons that have the neat feature of changing faces as they are flexed. There are many types of flexagons. The names of flexagons tell the type of polygon and the number of faces. Related crafts: Make a Hexa-hexaflexagon—it has six faces!

Flexagons were discovered over fifty years ago by a graduate student, Arthur Stone, playing with scraps of paper. Here's what you need: Computer paper Glue or double-sided tape Scissors Bone folder or empty ballpoint pen Ruler This project is rated AVERAGE to do. Read all of the steps before starting. Step 1: Choose a Pattern and Print It Choose a tri-hexaflexagon to make. Patterns are Adobe PDF files. Socks Are Like Pants: Crowdfund Our New Book! - Natural Math. Type a number, then click the Contribute button. 64 contributors raised $4,145 of $4,000 goal.

Socks Are Like Pants: Crowdfund Our New Book! - Natural Math

KoC BOARD GAMES LIBRARY - Your Local Game Shop. Tangram World. In this activity, students explore the area and perimeter of the shapes in a tangram square.

Tangram World

Make sure that students are familiar with the name of each shape: triangle, square, and parallelogram. A very good website for the history of tangrams, tangram puzzles, and online activities is www.tangrams.ca Activity One can be solved using fractions. Note that the tangram square can be divided into several different units. For example, the largest triangle makes up one-quarter of the tangram square. If the cost of each piece is based on its area, the large triangle should be one-quarter of $320. $320 ÷ 4 = $80. While the class is working, circulate to identify the strategies that students are using. Note that the perimeter of the largest triangle is only twice the perimeter of the smallest triangle, even though its area is 4 times larger.

Extension. LearnEX Educational Services - Worksheets. Teachingchannel. Finland. Homeschool Math - free math worksheets, lessons, ebooks, curriculum guide, and more. CWXHandouts_2.pdf.