1.Concrete to representational to abstract sequence of instruction: 1. intro
to concept modeled with concrete materials
2. translations of concrete models into diagrams or pics
3. translations of models into abstract models using only-numbers or
symbols
2.inquiry based learning: a student centered active approach with
student assess- ing manipulatives to grasp concepts
3.5 steps of problem solving: identify, determine the question, find a
strategy, gather materials, solve, explain
4.guess and check strategy: students make an initial guess at the
solution, check the answer, and use that outcome to guide the next
guess.
5.estimation: forming a calculation based on incomplete data
6.reasonableness: An answer that is based on good number sense.
7.number sense: the ability to understand numbers and problems
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, 8.Children learn to read the numbers 0-10 in: kindergarten
9.Children learn to read the numbers 0-20 in: 1st grade
10.manipulatives: tactile object used to help students grasp
mathematical con- cepts
11.rulers: help you measure the size of an object on the slide, as well as
the amount of space between objects
12.scales: tool for showing balance
13.measuring containers: Teach students about fractions & relationships
between standard units (pint,quart,gallon) and metric units
(millimeter,liter)
14.money: helps students understand the value associated with
denomination
15.conjectures: an opinion or conclusion formed on the basis of
incomplete infor- mation, assumption, speculation, hypothesis,
supposition, guesswork.
16.models: Something used to represent an object or an event in order
to make it easier to study.
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