Friday, September 11, 2009

Developing Math Autonomy Through Reasoning

In looking over quiz #1 and home nugget #1 which were handed in Friday Sept, 11, a number of items have come to my attention. I would ask that you are mindful of the following as you work on your home nugget this weekend.

1. You must have a complete heading in the order required:
Full Name, homeroom number, chapter from which the lesson is taken, home nugget number and due date.

Issues like illegible handwriting or poor use of space also fall into the category of a format issue. Remember to create a format and presentation that allows the reader to focus on content.

2. You cannot leave questions blank. Period. You must attempt all questions.

3. Your solutions must be accompanied with evidence of your math work, and when required, a written explanation that makes sense.

Here's this weekend's home nugget:

Home Nugget #2
Assigned on Friday September 11, 2009
Due on Monday September 14, 2009

A. Have required class materials as prescribed on your syllabus.

B. Answer questions 9 - 16 from the SAT sheet (p. 36) and include written explanation for #9, 12, 15.


FCAs
2 points: you have all materials
2 points: all problems are solved and explained where required

Thursday, September 10, 2009

Welcome to the 2009-2010 School Year!

Welcome 8th graders to the 2009-2010 school year. This blog will serve as a means of communication, primarily for the purpose of posting nightly homework (known as home nuggets). I will infrequently post relevant class information so it is in your best interest to check in every few days. Furthermore, this blog is not intended to take the place of your copying home nuggets down for yourself in class.

Today's primary objectives in class are essentially as follows:

1. Have students immediately engage in problem-solving in looking at a 'magic' trick that I perform then being asked to distill the actual math secret to the whole process.
2. Students will get an overall sense of what the course is about; primarily our objective is math autonomy specifically in regards to algebra. Students are the engine that drives the content as opposed to the teacher modeling steps and students simply mimicking.
3. Students will receive introductory paperwork detailing home nuggets, the class syllabus and class customs.

By the end of this first class meeting, all students should be clear on what the general course expectations are, how they will be assessed and what the instructional philosophy is comprised of.

There is homework due tomorrow!

Home Nugget #1
Assigned on Thursday September 10, 2009
Due on Friday September 11, 2009

3 parts:

A. Return one copy of the class syllabus filled out completely.

B. From the SAT problems sheet that your receive (pg. 35 & 36) solve problems 1 - 8. Show math work for all problems and include written explanations of your thought process for # 4, 6, 7 and 8.

C. Answer the following with as much detail as possible:
Ten years from now, in an ideal world, what do you see for yourself?
What do you want most from this year of mathematics?

Focus Correction Areas (FCAs) These are the general criteria against which the nugget is compared and graded.

1 point: syllabus returned completely filled out
2 points: SAT problems all completed and #4, 6, 7 and 8 explained
1 point: questions answered thoroughly

The class activity we started has been added as part of tonight's work!

You can find a replica of the six cards at the following link: http://docs.google.com/View?id=dcszzgg_229hfwnt3f6 and the four questions are as follows:

1. Explain how the magic trick is actually performed and describe in detail how you figured it out.
2. Explain why the numbers on the cards are arranged in the manner shown.
3. Why stop at 63? If we add a card, what max. value would we reach?
4. Create or list the first 5 and the last 5 numbers that would appear on a 7th card.

Bear in mind that the answers to these questions will be graded and count as your first quiz grade of the first term. The focus is on the level of effort and persistence you invest as opposed to the accuracy of your solutions.