problem solving: tips for teachers
TRANSCRIPT
Problem Solving: Tips For TeachersAuthor(s): Phares G. O'Daffer, Joan Duea and Earl OckengaSource: The Arithmetic Teacher, Vol. 34, No. 1 (September 1986), pp. 34-35Published by: National Council of Teachers of MathematicsStable URL: http://www.jstor.org/stable/41194195 .
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-i // fti _•. ř» »i- и П ~l <ALTA 30 km -i M // Strategy fti _•. Spotlight ř» »i- и П ~l
'™y <ALTA 30
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^^ ' I DARBY 30km> Using a Drawing |
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An early problem-solving Strategy your Students Alta vt> km Boyd km ClaJ km Darby should experience is í/s/ngr a drawing. Consider the following problem-solving activities to see how this Tell the students to use the information on the sign strategy might be used. to fill in the distances between the cities. To help
Draw the following map on the chalkboard. Draw students organize their thinking, ask them these the two road signs on paper. questions:
• How far is it from Boyd to Alta? (30 km) ш C~> ш ш ш From Boyd to Clay? (20 km) From Boyd to
Atta ш
^
- km Boyd ш
km Clay ш km Darby
ш Darby? (30 km)
• • How far is it from Clay to Darby? (10 km) ■ - ь . ma • How far is it from Clay to Alta? (50 km)
< X ALTA 30 km _l < X BOYD 15 km o Problem ш 2: o Show eu the ,u students ^ . 4 . 2. o Ask. A . X _l X Problem o ш 2: o Show eu the ,u students ^ . 4 sign
. 2. o Ask. A .
CLAY 20 kmS <ALTA km "Where will you be on the highway when you see J • / ' J this sign?" DARBY 30 knv>
/ CLAY krry Have the students use the information on the sign
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( to place It correctly on the map. DARBY km> ^ <ч
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11 /' Vy ^
ť
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Sign^
müh 11 Vy ť BOYD 15 km
Problem 1 : Show the students sign 1 . Tell them, 'ALTA km "You are traveling on highway 4. When you reach |_ Г' Boyd, you will see this sign. How far is it from Clay lCLAY KnV to Darby?" (Tape sign 1 on the chalkboard as shown InARRY kmS here.) г ~~ У here.)
<-> Г iji -I Edited by Phares G. O'Daffer -»- ) <-> / • X • '• Illinois State University Alta W* 30 km Boyd 20 km^ Clay 10 km Darby Normal, IL 61761
Prepared by Joan Duea and Earl Ockenga ^^ мк them t0 find the ™SSing distances ОП the Price Laboratory School road Sign.
CeabríSllflA °50613 '^ T° Ьв'Р StudentS find Шв dtótance from the si9n to
34 Arithmetic Teacher
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Alta, ask them these questions: (15 km). • How far is it from the sign to Boyd? (15 km) Make up other arrangements of cities on the map
From Boyd to Alta? (30 km) and other pairs of road signs to provide similar • How far is it from the sign to Alta? (45 km) activities with varying levels of difficulty for your Ask similar questions to help students find the students. You may also wish to ask students to make
distances from the sign to Clay (5 km) and to Darby up activities like this to challenge their classmates.
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Jim got into an elevator. He z S><§£ r _____^^ ~"~" went down 5 floors, up 6 Z (ìz)w^ I I
LJ I - i _____^^ ~"~" - - ____^_^^ " floors, and down 7 floors. He 7 (cTw> I LJ Deve/op/ng Prob/
____^_^^ " ~ was then on the second floor ^ ^l// ' Scents d
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Part of the Tip Board is reserved for techniques that you've found useful in teaching JOO|^ ц'ф'д эщ ve uo 'од imp MOjin/os problem solving in your class. Send your ideas to the editor of the section, щ *-
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