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Looking Ahead with Alexandria Jones

We have now finished three back issues of my old Mathematical Adventures newsletter. Our next story will be from the November/December 1998 issue: Alexandria Jones and the Christmas Present Quandary. I plan to take a couple of months off to find my rhythm with co-op and homeschooling classes, and we will pick up Alex’s adventures (and meet her mother, Maria Jones) in November.

In case you missed any of them, here are all the Alexandria Jones stories so far…

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Bloglines Potluck “Carnival”

Blog carnival graphic 2

One last, long weekend before we dive full-speed into school and co-op classes and swim lessons and karate and art lessons and…well, this may be my last chance to catch up on the backlog in my Bloglines folders.

With over 100 feeds, there is no way I will keep up with all of you during the school year. So here is my end-of-summer fling, a sort of unofficial “Best of (my) Bloglines” carnival, in which I share my personal favorites from the last few weeks of RSS.

I hope you enjoy these posts as much as I have.

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Penguin Math: Elementary Problem Solving 2nd Grade

The ability to solve word problems ranks high on any math teacher’s list of goals. How can I teach my students to reason their way through math problems? I must help my students develop the ability to translate “real world” situations into mathematical language.

In a previous post, I analyzed two problem-solving tools we can teach our students: algebra and bar diagrams. These tools help our students organize the information in a word problem and translate it into a mathematical calculation.

Now I want to demonstrate these problem-solving tools in action with a series of 2nd grade problems, based on the Singapore Primary Math series, level 2A. For your reading pleasure, I have translated the problems into the universe of one of our family’s favorite read-aloud books, Mr. Popper’s Penguins.

UPDATE: Problems have been genericized to avoid copyright issues.

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Egyptian Math: The Answers

Remember the Math Adventurer’s Rule: Figure it out for yourself! Whenever I give a problem in an Alexandria Jones story, I will try to post the answer soon afterward. But don’t peek! If I tell you the answer, you miss out on the fun of solving the puzzle. So if you haven’t worked these problems yet, go back to the original posts. Figure them out for yourself—and then check the answers just to prove that you got them right.

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High School Math Challenge

The USA Mathematical Talent Search (USAMTS) has posted its current set of challenge problems, the first of four rounds scheduled for the 2007-2008 school year. USAMTS is a free competition open to all United States middle school and high school students. Young mathematicians have a little over a month (until October 9) to write and send in solutions for the five questions.

According to the USAMTS website:

Student solutions to the USAMTS problems are graded by mathematicians and comments are returned to the students. Our goal is to help all students develop their problem solving skills, improve their technical writing abilities, and mature mathematically while having fun. We wish to foster not only insight, ingenuity and creativity, but also the virtue of perseverance, which is equally essential in scientific endeavors.

A mere five questions. How hard can it be? (Ha!)

A Very Short History of Mathematics

This paper was read to the Adams Society (St. John’s College Mathematical Society) at their 25th anniversary dinner, Michaelmas Term, 1948. [Warning: Do not attempt to read this while drinking coffee or other spittable beverage!]

Hat tip: I found this through the math carnival at a mispelt bog.

Update: The original page has disappeared from the internet, or at least I cannot find it any more, but the Internet Archive Wayback Machine came to the rescue. After my plea for help, James Clare pointed me to the article’s new home.

Carnival of Mathematics XV

Carnival of MathematicsAaargh—I missed it again! I suppose I should know better by now, but I sent in my entries (on time at least) via the blog carnival submission form. I have lost more carnival entries that way, but I still let myself be lured in by the ease of using a form, rather than writing a simple email by hand. Silly, lazy me.

Anyway, the latest Carnival of Mathematics is now open at a mispelt bog, with plenty of fun graphics and interesting things to read about.

Egyptian Geometry and Other Challenges

Rhind papyrus

Would you like to study “the knowledge of all existing things and all obscure secrets”? That is how Scribe Ahmose (also translated Ahmes) described his mathematical papyrus. Ahmose’s masterpiece is now called the Rhind Papyrus, after Alexander Henry Rhind, a Scotsman who was one of the first archaeologists to make meticulous records of his excavations (rather than simply hunting for treasures). Rhind purchased the papyrus from an antiquities dealer in Luxor, Egypt, in 1858.

Ahmose’s writing included a huge table of fractions as well as story problems, geometry, algebra, and accounting. Can you solve any of Scribe Ahmose’s problems?

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Writing to Learn Math

2009 Challenge - Day 72: Pencil
Image by ☼zlady via Flickr

Have you considered experimenting with writing in your math class this year? It seems that math journals are a growing fad, and for good reason:

Writing is how we think our way into a subject and make it our own.

William Zinsser
Writing to Learn

Math journal entries can be as simple as class notes, or they can be research projects that take hours of experimentation and pondering. Students may use the journal to store their thoughts as they work several days to solve a challenge problem of the week, or they might jot down quick reflections about what they learned in today’s math class.

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