Sample Lesson 5 - Developing Math Learning
Skills
Reading Mathematics and Following Through
on
Organizing for Studying Mathematics
Rationale
The language of mathematics uses words with precise meanings.
To successfully read mathematics, one must know these meanings
and understand the context in which the words are used.
Mathematics
requires careful and deliberate reading. Students must read
what is written and not interject expectations.
A
daily encounter with mathematics can include overview, review,
cross referencing vocabulary, or history. This encounter
is something aside from normal mathematics study and homework.
Objectives
-
Each student will experiment with suggestions
on improving mathematics reading skills.
-
Each student will examine times allocated
for studying mathematics.
Materials and Resources
Index cards and scratch paper
Kogelman, S., and J. Warren, 1978. Mind over math, 163 68.
New York: McGraw Hill.
Larnb, C., and N. Zeliavi. 1984, Elementary mathematics vocabulary.
In Diagnostic and prescriptive  mathematics
issues, ideas, and insights. Ed. G. Bright and J.M. Hill,
58 61. Kent, Ohio:
Research
Council for Diagnostic and Prescriptive Mathematics.
Handouts
- "How to Study Mathematics," from Lesson 2
- "Math Reading Test"
- "Answers to Math Reading Test"
Instruction and Activities
-
Review vocabulary from the previous lesson.
-
Discuss requirements for successfully
reading mathematics: From "How to Study Mathematics."
read item 2, 'Read Carefully and Deliberately."
-
Provide an example to illustrate careful
reading, such as the following:
There
are 4 Arabians and 3 thoroughbreds in the pasture.
Are
there more Arabians than there are horses?
- Suggest that students use two index cards to avoid visual
overload by blocking out all but the text they need to concentrate
on, Demonstrate this method and have students practice.
Suggest that students also highlight important material.
- Read and discuss Kogelman and Warren's suggestions for
reading a math textbook.
- Read and discuss item 3, "Think with Pencil and Scratch
Paper," from "How Mathematics." Suggest that
students write big.
- Distribute the "Math Reading Test" Allow students
to answer the first few items first three items and request
that students write the solutions on the chalkboard as they
solve the problems.
- Whenever possible check with students on their success
in maintaining a schedule that allows for studying mathematics
each day. Share problems and results. Tutors can review
each student's schedule, skim the journal and notebook,
and discuss ways of making the study of mathematics more
organized.
-
Have students identify the most important
technique they learned about reading
-
Ask students to identify one, new technique
they will use when reading
-
Ask students to identify one new technique
they will use when reading mathematics
HANDOUT
Math Reading Test*
- Does England have a Fourth of July?
- If you had only one match and entered a room where there
was a lamp, an oil heater, and some kindling wood, which
would you light first?
- A woman gave a beggar 50 cents. The woman is the beggars
sister, but the beggar is not the woman's brother. Why?
- Is it legal in North Carolina for a man to marry his widow's
sister?
- A garden had exactly 50 different kinds of flowers, including
10 kinds of roses, 3 kinds sweet peas 2 kinds of alyssum,
5 kinds of carnations, 3 kinds of zinnias. 8 kinds of poppies,
4 kinds of snapdragons. 5 kinds of gladiolus, and 6 kinds
of phlox. How many different kinds of flowers did the garden
have?
- A rooster is sitting on the peak of a roof and lays an
egg. Which way does the egg roll: to the right or to the
left?
- Abbott, Baker, and Casper are a detective, and an entomologist
and a farmer, although not necessarily in that order. Abbott
was the proud mother of healthy twins yesterday. Casper
has a deathly fear of insects and will not even get close
enough to one to kill it if she sees it. The farmer is getting
worried because she and her husband are getting old and
will am be unable to run the farm for too many more years,
and she has no children. Casper, unmarried, especially likes
to date brunettes. What is the occupation of each of the
three women?
- Three quarrelsome men registered at a hotel and paid
$30 for a suite of rooms, each man contributing $10. The
clerk discovered later that he should have charged them
only $25 for that suite, so he gave the bellboy $5 to return
to the men. Remembering how the men had quarreled when they
registered, the bellboy thought they would quarrel too much
about how to split the S5 refund, and so he kept $2 and
returned $3 to the men. Now each man had paid $ 10, less
$1 refund for the room ($9 x 3 men $27). But $27 + $2 kept
by the bell boy equals only $29, and the original charge
was $30 What happened to the other $1?
*Adapted from Jean Smith, Math Clinic, Wesleyan University,
Middletown, Connecticut.
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