The three Ohio delegates to the Adult Mathematical Literacy Conference in Washington last spring have organized a network of adult education math instructors in Ohio. Nancy Marcus, an instructor in Cleveland Heights/University Heights, Shelia Sides-Jones, an instructor in Mansfield City Schools, and Jean Stephens, Director of the Ohio Literacy Resource Center provided the leadership for the initial planning. Over thirty-five instructors from all parts of Ohio have expressed interest in participating in the project, and twenty of them met in mid-September to begin planning math activities.
The instructors expressed interest in developing math training workshops, developing curriculum, arranging visitations, and sharing math ideas through a newsletter. The group also plans to facilitate seven sites for the December mathematics tele-conference. The instructional ideas they shared at the meeting are the basis for this newsletter. The group also spent time discussing the Massachusetts Adult Basic Education Math Standards and the possible adoption of these standards in Ohio.
Paula Mullet - Cleveland Hts. - University Hts. ABLE
The Techniques of Problem Solving (TOPS) Cards produced by Dale Seymour Publications (P.O. Box 10888, Palo Alto, CA 94303) are very useful with students. The sets of 200 cards are available for grade levels 3-9. The cards require students to use a variety of problem-solving strategies to answer questions.
I use the cards as an introductory activity. I copy 2 or 3 questions on the board each morning for people to work on when they arrive. When most students have completed a question, we go over the answers as a class.
Delores Jones - Southwest ABLE/JOBS
Metrics - Use Deci-Mat (double-sided, flat vinyl mat that teaches whole numbers and deimals) to teach place-value and show that the metric system just uses other names for the place-values.
Carolyn Naples Taylor - Warren City Schools
This lesson introduces circles and the meaning and use of the terms circumference, diameter, and pi.
Materials: Chart paper, markers, scissors, string, compass, card stock, copy paper, or heavy weight construction paper. (You can also use coins and thread or thin string.)
Introduction: Ask students what they know about circles. Record all responses on chart paper. (You will ask this question again at the end of the lesson to compare new knowledge to old.)
Activity: Show students how to use a compass. Have them draw circles of different sizes and cut them out. Stretch string around the circle once, and cut. Have them stretch the string back and forth across the circle, making sure they cross the center. Have them record how many times the string goes across.
Discussion: Ask students what they discovered. Ask them to come up with a rule for circles. Ask if they think there are exceptions. Explain the history of measuring land by using knotted ropes and sectioning off circular plots of land. The rule they just discovered was also discovered back then. Put names to features of the circle that they have been working with and discuss ratio of circumference to diameter to talk about pi. Develop the formula for circumference and diameter.
E. Jean Thom -- Strongsville City Schools ABLE
This is a good introductory activity for both the students and the instructor.
Objectives: The student will (1) develop a sense of what numbers are and how they can be represented in a variety of equivalent forms, (2) understand that integers can be expressed in an unlimited number of ways, and (3) explore and recognize patterns in numbers.
Activity: On a sheet of paper, print your name vertically down the left side of the paper. Find the numerical value of your name using the operation of addition. A=1, B=2, C=3, etc. After you have determined the value of your name, write that value in at least ten different ways. Students may work together if they prefer.
E = 5 T = 20 H = 8 E = 5 L = 12 J = 10 E = 5 A = 1 N = 14 T = 20 H = 8 O = 15 M = 13 136
100 + 36; 99 + 37; 98 + 38...
137 - 1; 138 - 2; 139 - 3 ...
135 +1; 135 + 2/2; 135 + 3/3 ...
135.1 + .9; 135.2 + .8; 135.3 + .7 ...
Commutative property of addition:
100 + 36 = 36 + 100
100 + 30 + 6
1(100) + 3(10) +6(1)
1(102) + 3(101) + 6(10)
Note: This exercise can be expanded to introduce properties, expanded notation, and scientific notation.
Dorna Smith-- Gallia-Jackson-Vinton JVSD
Utilizing Multi Sensory Learning with Multiplication Facts To incorporate "tactile" practices in multiplication: Encourage students to complete a multiplication chart each day, then refer to the chart as needed for the remainder of the day. The repetition and the writing will reinforce the information.
To incorporate "visual" practices in multiplication: Encourage student to first enter the facts that he/she knows --2's, 5's, 10's, 11's, etc. Enter the facts both horizontally and vertically.
1 2 3 4 5 6 7 8 9 10 11 12 2 16 24 3 24 36 4 32 48 5 40 60 6 48 72 7 56 84 8 64 96 9 72 108 10 80 120 11 88 132 12 96 144
Patti Bilyeu -- Belmont-Harrison VSD
Multiplication - Troublesome facts
Most students will master the basic facts up to the 6 tables easily. Below are 3 examples to help with 7x6, 7x8, and 6x8
7x6 can mean 7+7+7=21 so 7x3=21 so 21 7+7+7=21 7x3=21 +21 42 7x8 = 56 6x8=48 5678
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Send Us Your Ideas
Send your math tips for the next issue of the Math Literacy News to the Ohio Literacy Resource Center.