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Part Four: Implications for Teaching and Teacher Education
Pages 127-154

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From page 129...
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From page 130...
... need it so that the and their students ~Y .
From page 131...
... . Professional standards for teaching Author.
From page 132...
... n ,1. _ _ OR n 1 11 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: what is learned.
From page 133...
... resents the services in the table would be the best o tion for ou to choose' The P y
From page 136...
... She is () o-Director of the National Science Foundation funded Connected [mathematics Project and a member of the National Education Research Policy and Priorities Board.
From page 139...
... ematical content of a task and its difficult level I have found that this is best
From page 140...
... ences Education Board.
From page 142...
... ~A ~o ~ to fit ~o Ed Cal 7 Jo C~7 of +~h~r~ Ursula IDS AT
From page 144...
... the Buros Insllillute of h/[easurement, the National Association of Test Directors, and the Association for Supervision and Curriculum Development. He is a former member of the Mathematical Sciences Education Board, having served on its Executive Committee and as Chair of its National Forum on School Mathematics.
From page 145...
... Three main masher atical themes could be emphasized in this task estimation, partitioning, and successive among measurements of distance, area, volurne, and weight This task might also be used as an introduction to the calculus topic of integration In everyday life, we estimate area in order to determine how much paint to use in painting our homes, how much carpet to buy for a room, how many plants to buy for a garden, or how much grass seed or fertilizer to buy for our lawns. Some approaches to this task can also lead to discussion of proportion and ers, interior designers, and architects all An important component of this task is esti lays some of the groundwork for calculus.
From page 146...
... COnSISLOnL WILI I L' Be 'ac L meal sur,ace each sl:ate given in an almanac or an ency accura<: of their estimates and wh the Y Y size grid is needed to estimate 1:he area IDS AT Using a map causes ano1:her kind of meat the projections used by map makers involves I ·,..1 ~ _.1 l~ · ~ ~ · ~ SO lo geometry any sp,,erlca' .rlgonome.ry. ~ _ 1 ~ Is the surface area of a 1 OO~mile square sec1:ion of western Colorado the same as a 1 QQ~mile square section of eastern Colorado?
From page 147...
... The technique combines the information for cars (given by graphs) with the information given for traffic lights (given by one-dimensional time graphs showing how long they are red, scheclules, and canals.
From page 148...
... The lines are parallel because all of the cars Lights B and ~ are representecl as horizontal lines in Figure 3. The lines have been pars tially clotted to showUwindowsn-time inters vals during which the light should be green to allow unimpecled lFIoW of the 12 cars from Fioure 2.
From page 149...
... Note that if light B uses the same Now however light B neecis an excessive! \/ ~ ~ :7 J Neither a 60~se~ond light cycle (Figure 43 nor a 90-second light cycle (Figure 5)
From page 150...
... . ~ he c Iscussion an ~a grams above suggest that when there are only two lights or when the lights are evenly spaced, the light cycle may be adjusted to accommodate good traffic flow in both clirections.
From page 151...
... Just pick N to get the speed into What if the road carries heavy Commuter southbound in the evenings? WQUICI it make
From page 152...
... . For a one-track rat/road line, or a canal like the Suez Canal which is one-way much of the wag you locate Dungs (bypasses)
From page 153...
... prices and repair costs for used cars, they ally have lower purchase prices. Purchase price is a one-time cost, and repair costs are likely to be an-going.


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