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; what unit do we use to measure a bag of potatoes?; ONLY 1 ANSWER (Pounds)

Concrete-Representational-Abstract

The 3 stages teachers should use when introducing a new topic

Concrete Stage

During this stage, the teacher introduces and models the concept by using tools or manipulatives;ex. using counters to model an addition problem

Representational Stage

During this stage, the teacher transforms manipulatives into a symbolic form by drawing pictures or making tally marks;;

Abstract Stage

During this stage, the teacher models how to complete the task using only numbers and math symbolsex. changing the tally marks into numbers like 3+5=8

Problem-Solving Approach

the primary goal of math

known as a process and not a topic

introduced through real-world situations

allows student to explain and discuss ways fo arriving at their solution

Draw a Picture

Julie is 10 meters ahead fo Mary. Shon is 5 meters behind Julie.; Mary is 12 meters behind Lisa.; In what order ar ethe runner from first to last?;What problem solving strategy is most effective for solving this?

Problem Solving Strategies

working bckwards

find a pattern

act it out

draw a picture

guess, test, revise

make a table

try a simpler problem

make a model

guess ; check

are all…

Working Backwards

Alan took $20.00 to the grocery store.; He bought a chicken for $3.09, celery for $.79, milk for $2.02, and some bread.; He received $12.

42 in change.; How much did the bread cost?;What strategy would be used to solve this problem?

Guess, Check, and Revise

You have 30 bite-sized snickers to share with your sister. You want to keep 4 more than you give her.; How many should she get?;What problem solving strategy should you use?

Authentic Assessments

Used to assess students’s ability to apply what has been learned Includes:Student PortfoliosStudent-Teacher Interviews

Summative Assessment

These assessments are given at the end of a unit, end of a chapter exam, or end of year Does not help the teacher in modifying instruction or reteaching

Formative Assessment

This type of assessment is part of the instructional process. Provides information to the teacher during student learning so that instruction can be adjustedor arranged for reteaching

Formative

A quiz given after a lesson has been presented is what type of assessment

Advantages of using a rubric

allow assessments to be more objective and consistent

show students clearly how work will be evaluated

provides useful feedback to teacher regarding effectiveness of instruction

concept of ratio

Manipulatives such as:-dominoes-geoboards-moneyDO NOT TEACH THE…

learning disabilities

teaching math concepts from the concrete to the representational to the abstract will help a diverse group of students to include those with…

place value

determines the value of a digit by its position an example would be a game in which students draw 4 boxes. they then take turns throwing a dice. each time the dice is thrown, students write the number shown on the dice in any one of the 4 boxes; the game continues until all 4 boxes have numbers. students compare number and the one with the largest wins