And Be Thankful

[Feature photo (above) by alicepopkorn via Flickr (CC BY 2.0).]

Therefore, as God’s chosen people, holy and dearly loved,
clothe yourselves with compassion, kindness,
humility, gentleness and patience.
Bear with each other and forgive
whatever grievances you may have against one another.
Forgive as the Lord forgave you.
And over all these virtues put on love,
which binds them all together in perfect unity.

Let the peace of Christ rule in your hearts,
since as members of one body you were called to peace.
And be thankful.
Let the word of Christ dwell in you richly
as you teach and admonish one another with all wisdom,
and as you sing psalms, hymns and spiritual songs
with gratitude in your hearts to God.

And whatever you do,
whether in word or deed,
do it all in the name of the Lord Jesus,
giving thanks to God the Father through him.

— Colossians 3:12-17

[Taken from the Holy Bible, New International Version, (c)1973, 1978, 1984 by the International Bible Society, used by permission of Zondervan Bible Publishers.]



Math Debates with a Hundred Chart

Euclid game
Wow! My all-time most popular post continues to grow. Thanks to an entry from this week’s blog carnival, there are now more than thirty great ideas for mathematical play:

The latest tips:

(31) Have a math debate: Should the hundred chart count 1-100 or 0-99? Give evidence for your opinion and critique each other’s reasoning.
[Hat tip: Tricia Stohr-Hunt, Instructional Conundrum: 100 Board or 0-99 Chart?]

(32) Rearrange the chart (either 0-99 or 1-100) so that as you count to greater numbers, you climb higher on the board. Have another math debate: Which way makes more intuitive sense?
[Hat tip: Graham Fletcher, Bottoms Up to Conceptually Understanding Numbers.]

(33) Cut the chart into rows and paste them into a long number line. Try a counting pattern, or Race to 100 game, or the Sieve of Eratosthenes on the number line. Have a new math debate: Grid chart or number line — which do you prefer?
[Hat tip: Joe Schwartz, Number Grids and Number Lines: Can They Live Together in Peace? ]

Math Teachers at Play #80 via Triumphant Learning

The new Math Teachers at Play math education blog carnival is up for your browsing pleasure. Each month, we feature activities, lessons, and games about math topics from preschool through high school. Check it out!

[Photo by Paul Downey. (CC BY 2.0 via Flickr)]

PaulDowney80

Welcome to the 80th Edition of the Math Teachers at Play (MTaP) blog carnival.

Before we dive into some math posts from around the web, let’s see what is special about the number eighty.

80 is…

  • how long it took Phileas Fogg to travel around the world in Jules Verne’s novel Around the World in Eighty Days.
  • 4 scores.
  • commonly used in the “80:20 rule,” which originated from Vilfredo Pareto, an Italian economist…

…And more! Click here to read the whole carnival, featuring 17 posts of mathy awesomeness!

Roadmap to Mathematics: 3rd Grade

[Feature photo (above) by Phil Roeder. (CC BY 2.0 via Flickr)]

roadmap3

A frequently-asked question on homeschooling forums is, “Are my children working at grade level? What do they need to know?”

The Council of the Great City Schools has published a handy 6-page pdf summary of third grade math concepts, with suggestions for how parents can support their children’s learning:

Whether you are a radical unschooler or passionately devoted to your textbook — or, like me, somewhere in between — you can help your children toward these grade-level goals by encouraging them to view mathematics as mental play. Don’t think of the standards as a “to do” list, but as your guide to an adventure of exploration. The key to learning math is to see it the mathematician’s way, as a game of playing with ideas.

The following are excerpts from the roadmap document (along with a few extra tips) and links to related posts from the past eight years of playing with math on this blog…

Continue reading Roadmap to Mathematics: 3rd Grade

Roadmap to Mathematics: 2nd Grade

[Feature photo (above) by Loren Kerns. (CC BY 2.0 via Flickr)]

roadmap2

A frequently-asked question on homeschooling forums is, “Are my children working at grade level? What do they need to know?”

The Council of the Great City Schools has published a handy 6-page pdf summary of second grade math concepts, with suggestions for how parents can support their children’s learning:

Whether you are a radical unschooler or passionately devoted to your textbook — or, like me, somewhere in between — you can help your children toward these grade-level goals by encouraging them to view mathematics as mental play. Don’t think of the standards as a “to do” list, but as your guide to an adventure of exploration. The key to learning math is to see it the mathematician’s way, as a game of playing with ideas.

The following are excerpts from the roadmap document (along with a couple of extra tips) and links to related posts from the past eight years of playing with math on this blog…

Continue reading Roadmap to Mathematics: 2nd Grade

Roadmap to Mathematics: 1st Grade

[Feature photo (above) by woodleywonderworks. (CC BY 2.0 via Flickr)]

roadmap1

A frequently-asked question on homeschooling forums is, “Are my children working at grade level? What do they need to know?”

The Council of the Great City Schools has published a handy 6-page pdf summary of first grade math concepts, with suggestions for how parents can support their children’s learning:

Whether you are a radical unschooler or passionately devoted to your textbook — or, like me, somewhere in between — you can help your children toward these grade-level goals by encouraging them to view mathematics as mental play. Don’t think of the standards as a “to do” list, but as your guide to an adventure of exploration. The key to learning math is to see it the mathematician’s way, as a game of playing with ideas.

The following are excerpts from the roadmap document, along with links to related posts from the past eight years of playing with math on this blog…

Continue reading Roadmap to Mathematics: 1st Grade

Roadmap to Mathematics: Kindergarten

[Feature photo (above) by MIKI Yoshihito. (CC BY 2.0 via Flickr)]

RoadmapK

A frequently-asked question on homeschooling forums is, “Are my children working at grade level? What do they need to know?”

The Council of the Great City Schools has published a handy 6-page pdf summary of kindergarten math concepts, with suggestions for how parents can support their children’s learning:

Whether you are a radical unschooler or passionately devoted to your textbook — or, like me, somewhere in between — you can help your children toward these grade-level goals by encouraging them to view mathematics as mental play. Don’t think of the standards as a “to do” list, but as your guide to an adventure of exploration. The key to learning math is to see it the mathematician’s way, as a game of playing with ideas.

The following are excerpts from the roadmap document, along with links to related posts from the past eight years of playing with math on this blog…

Continue reading Roadmap to Mathematics: Kindergarten