# Instrumentation in Mathematics

**Topics:**Problem solving, Orders of magnitude, Angle

**Pages:**41 (8575 words)

**Published:**January 7, 2013

IN

MATHEMATICS

Prepared BY:

MA. KARLA RACHELLE ULIBAS

BSED - II

Prepared For:

JUBERT GANAPAO

INSTRUCTOR

TABLE OF CONTENTS

Title Pagei

Table of Contentsii-v

Theoretical Considerations, Literature and Research Studies on the Use of Learning Aids 1-16

Activity Sheets17

On Numbers

Complete the Skip Counting Series18-19

On Measurement

Metric Length20

Metric Weight21

Metric Capacity22

Compare Metric Measurements23

Metric System Measurement Conversions24

Reading a Tape Measure25

Reading a Decimal Ruler26

Reading a Metric Ruler27

Reading a Standard Ruler28

Measuring in Inches29

Measuring in Centimeters30

Converting Feet to Inches31

Converting Fahrenheit to Celsius32

Find the Temperature for each Thermometer

in Degree Celsius33

What is the reading in milliliters for each

graduated cylinder?34

Liquid Measure Quiz35

Conversion Factors36

Converting English to Metric37

On Algebra

Identify the Properties of Mathematics38

Working with Properties of Mathematics39

Prime factors of the Numbers40-41

Factors42

Greatest Common Factor43

Exponents 44-46

Radicals 47

Scientific Notation 48

Fractions49

Adding Fractions50-53

Subtracting Fractions54-56

Multiplying Fractions57-59

Dividing Fractions60-62

Equivalent Fractions63

Reducing Fractions64

Converting of Fractions65

Comparing Fractions66

Order of Operations67-68

Percentage69-70

On Geometry

Classifying Angles71

Naming Angles and Vertices72

Naming Relationships of Angles73

Finding Measures of Angles74

Angle Measure75

Drawing Angles76

Points in an Angle77

Find the missing angle measurement

using the angle addition postulate78

Find the missing angle measurement in each

set of complementary angles79

Find the missing angle measurement in each

set of supplementary angles80

Find the missing vertical angles81

Find the missing alternate angles82

Find the missing corresponding angles83

On Trigonometry

Find the length of the third side of each triangle84

Find the distance between the points85-86

On Statistics

Introduction87

Tally88

Arrange in Ascending Order and Find the Range89

Finding the Mean of a Data Set90

Calculating the Mean, Median, Mode and Range91

Calculating Mode92

Calculating the median of a Data Set93

Frequency94

Calculate the first, second, and third quartile

for each Data Set95

On Probability

Determining the Probability96

Choice based Probability97

Spinner Probability with Critical Thinking98

Graphing Calculator99-100

References101-102

Research studies have evaluated the effectiveness of manipulatives as a tool in mathematics instruction. One line of research has studied the Concrete-Representational-Abstract (CRA) sequence of instruction, a form of explicit instruction that moves students from concrete manipulatives to pictorial representations of those manipulatives and finally to abstract concepts. Butler, Miller, Crehan, Babbitt, & Pierce (2003) compared the effectiveness of teaching fraction concepts to students with learning disabilities using a CRA approach versus a Representational-Abstract (RA) approach (starting with pictorial representations and moving to abstract concepts, with no concrete manipulatives). Fifty middle school students with mild to moderate disabilities were assigned to the CRA or the RA group. While both groups improved their understanding of fractions, the CRA group had overall higher scores than the RA group. A study by Witzel, Mercer, & Miller (2003) also supports the...

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