The language of Math - like teaching a foreign language

Tips: • Make index cards for bookmarks with vocabulary terms for the chapter on them that you don't know. • Use Math any way you can, even if it isn't algebra, like counting by 2's during a test to calm down. Stay in the Math mind set. • Tell someone else how to do a problem, but giving specific directions. • Tell a friend how to correct a problem that is wrong: why it is wrong and how to fix it.

Visual Math Glossary

Quotient "I guess that I am supposed to know this, but Math vocabulary is tricky. Here's an easy site to look up math words. Besides, it gives me pictures to help me remember the math word. I going to look up quotient. "

The Math Journal ( Blackboard has a special Journal option where you can set up your class. It can be set so students can see each other's journal. That way if someone else has a good idea, it can be shared and students can tell each other how they did it!)

This is a long term weekly assignment culminating in a final project. The goal is to have the students "talk algebra" each week and explain a process, give directions, use and/or explain terminology of the week, provide test questions with 3 distractors and explain why this are "good" distractors. I usually make this a 10 week project with 3 weeks for the fun stuff of adding links, youtube videos and graphics to put everything together into a document (Word, PowerPoint, video) 5 pts weekly. 100 pts final project. Each week I would check on the journal and redirect or comment if needed.

The Student Challenge: You have a friend who is not doing well in Math. However, his/her father has a gorgeous house in the Bahamas. If you will help your friend get a C or better in Math, you will get the house for a week in the Bahamas. You must work on helping your friend learn Math, by giving directions, helping to memorize terminology and learning to use symbols and talk the language of Algebra. Each week you must write a paragraph or 2 to your friend. This can be very informal. You can choose your friend and write in a language that he or she understands (no texting or inappropriate language.) At the end of 10 weeks you will take all your journal entries and put them together into a final project, where you can add links, youtube videos, suggested apps, graphics, etc. to apply for the house in the Bahamas. ( I teach in Florida, so the Bahamas is appropriate, but you can choose a location that your students are familiar with. Students have even gone online to choose the house that they want. Some have said, "Just send the key." Result: a very creative and enthusiastic project. Much more fun to read than boring 10 page papers.)

Meet Charlie at Algebra2go. Video tutorials. With notes in Spanish. Extensive website. Free. Designed and acted by Larry Perez. Math Professor from Saddleback College, CA.

Jack Lochhead Center for the Study of Cognitive Approaches to Mathematics Instruction University of Massachusetts, Amherst, MA

Arthur Whimbey, Jack Lochhead and Ron Narode. (2013) Problem Solving and Comprehension. 7th Edition. Routledge.

Methods of Good Problem Solving (p. 25 print / p. 39 pdf)

Positive Attitude

Concern for Accuracy

Breaking problem into parts

Avoid Guessing

Activeness in problem solving

I worked with both Jack Lochhead and Arthus Whimbey. For Jack, I provided the applied exploration of problem solving theory with community college students to see what worked and what wasn't working. I soon discovered that students needed help with metacognition and in order to do so, needed to split the process into two roles.

So one was the problem solver and the other was the cognitive coach with the help of the script, provided in the text. Even with the steps provided in the text, many of the students were caught between steps, which was only evidenced through the use of this process. It was then the job of the "good" student the help the problem solver bridge the gap in mini steps through the process to the next step or redirect back to the path or seek more help.

Roles were then reversed. The goal was to put both parts of metacognition together for each individual by the term.

Role of the Listener when working with a partner
gives actual transcript examples (p.28 print)

Continually Check Accuracy

Demand Constant Vocalization

( In Problem Solving link see examples of dialogue of 2 graduate students working a problem)

Thinking Aloud Pair Problem Solving - how it works
(p. 39 print)

Math Resources• Make index cards for bookmarks with vocabulary terms for the chapter on them that you don't know.

• Use Math any way you can, even if it isn't algebra, like counting by 2's during a test to calm down. Stay in the Math mind set.

• Tell someone else how to do a problem, but giving specific directions.

• Tell a friend how to correct a problem that is wrong: why it is wrong and how to fix it.

Quotient"I guess that I am supposed to know this, but Math vocabulary is tricky.

Here's an easy site to look up math words. Besides, it gives me pictures to help me remember the

math word. I going to look up quotient. "

http://www.mathsisfuThe Student Challenge: You have a friend who is not doing well in Math. However, his/her father has a gorgeous house in the Bahamas. If you will help your friend get a C or better in Math, you will get the house for a week in the Bahamas. You must work on helping your friend

learnMath, by giving directions, helping to memorize terminology and learning to use symbols and talk the language of Algebra. Each week you must write a paragraph or 2 to your friend. This can be very informal. You can choose your friend and write in a language that he or she understands (no texting or inappropriate language.) At the end of 10 weeks you will take all your journal entries and put them together into a final project, where you can add links, youtube videos, suggested apps, graphics, etc. to apply for the house in the Bahamas. ( I teach in Florida, so the Bahamas is appropriate, but you can choose a location that your students are familiar with. Students have even gone online to choose the house that they want. Some have said, "Just send the key." Result: a very creative and enthusiastic project. Much more fun to read than boring 10 page papers.)You will also find math fun stuff:

How to Read a Math TextbookHow to integrateMy Math Labwith your textbook, NOT instead of your textbookThis handout includes the use of index cards for bookmarks for math vocabulary and memory techniques.Algebra2go. Video tutorials. With notes in Spanish. Extensive website.Free. Designed and acted by Larry Perez.

Math Professor from Saddleback College, CA.

http://www.algebra2go.comProblem Solving & Comprehension by

Jack Lochhead

Center for the Study of Cognitive Approaches to Mathematics Instruction

University of Massachusetts, Amherst, MA

Methods of Good Problem Solving (p. 25 print / p. 39 pdf)

So one was the problem solver and the other was the cognitive coach with the help of the script,

provided in the text. Even with the steps provided in the text, many of the students were caught

between steps, which was only evidenced through the use of this process. It was then the job of

the "good" student the help the problem solver bridge the gap in mini steps through the process

to the next step or redirect back to the path or seek more help.

Roles were then reversed. The goal was to put both parts of metacognition together for each

individual by the term.

gives actual transcript examples (p.28 print)

( In Problem Solving link see examples of dialogue of 2 graduate students working a problem)

(p. 39 print)

Examples and explanations written out in text.