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Math Investigations
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Listed below are 34 Investigations, one for each of the 34 sections of Mathematics For Elementary Teachers: A Conceptual Approach, Sixth Edition. These investigations may also be found at the chapter/section level.

The investigations pose questions to generate interest in various mathematical topics from the text and encourage students to formulate and investigate their own conjectures. One use of these investigations is for term papers in which students report on their conjectures and the patterns they find.

*Additionally, of the 34 investigations below, 14 also include a data collection software program called Mathematics Investigator. These are indicated by an asterisk.

Click on the Read Me files below to open the investigations in a Word file. The Word file may be used in conjunction with the Investigator by copying and pasting the data from the Investigator into the Word file. You may also type your answers into the Word file.

Four-Digit Numbers Investigation (Chapter 1, Section 1)
Read Me - Four-Digit Numbers Instructions (Word Format) (25.0K)



*Triangular Numbers Investigation (Chapter 1, Section 2)
Read Me - Triangular Numbers Instructions (Word Format) (87.0K)

     Click here to begin the Triangular Numbers Investigator



*Palindromic Sums Investigation (Chapter 1, Section 3)
Read Me - Palindromic Sums Instructions (Word Format) (24.0K)

      Click here to begin the Palindromic Sums Investigator



*Consecutive Numbers Investigation (Chapter 2, Section 1)
Read Me - Consecutive Numbers Instructions (Word Format) (280.0K)

     Click here to begin the Consecutive Numbers Investigator



Graphs of Functions Investigation (Chapter 2, Section 2)
Read Me - Graphs of Functions Instructions (Word Format) (25.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 2.2: Graphs of Functions (7.0K)


*Difference of Squares Investigation (Chapter 2, Section 3)
Read Me - Difference of Squares Instructions (Word Format) (101.0K)

     Click here to begin the Difference of Squares Investigator



The Number 6174 Investigation (Chapter 3, Section 1)
Read Me - The Number 6174 Instructions (Word Format) (30.0K)



*Palindromic Differences Investigation (Chapter 3, Section 2)
Read Me - Palindromic Differences Instructions (Word Format) (22.0K)

     Click here to begin the Palindromic Differences Investigator



*Number Chains Investigation (Chapter 3, Section 3)
Read Me - Number Chains Instructions (Word Format) (23.0K)

     Click here to begin the Number Chains Investigator



Sums and Differences of Squares Investigation (Chapter 3, Section 4)
Read Me - Sums and Differences of Squares Instructions (Word Format) (26.0K)



*Frequency of Primes Investigation (Chapter 4, Section 1)
Read Me - Frequency of Primes Instructions (Word Format) (21.0K)

     Click here to begin the Frequency of Primes Investigator



*Factorizations Investigation (Chapter 4, Section 2)
Read Me - Factorizations Instructions (Word Format) (55.0K)

     Click here to begin the Factorizations Investigator



*Integer Differences Investigation (Chapter 5, Section 1)
Read Me - Integer Differences Instructions (Word Format) (61.0K)

     Click here to begin the Integer Differences Investigator



Paper Folding Investigation (Chapter 5, Section 2)
Read Me - Paper Folding Instructions (Word Format) (37.0K)



Fraction Patterns Investigation (Chapter 5, Section 3)
Read Me - Fraction Patterns Instructions (Word Format) (52.0K)



*Repeating Decimals Investigation (Chapter 6, Section 1)
Read Me - Repeating Decimals Instructions (Word Format) (23.0K)

     Click here to begin the Repeating Decimals Investigator



Digit Draw Investigation (Chapter 6, Section 2)
Read Me - Digit Draw Instructions (Word Format) (31.0K)



*Palindromic Decimals Investigation (Chapter 6, Section 3)
Read Me - Palindromic Decimals Instructions (Word Format) (24.0K)

     Click here to begin the Palindromic Decimals Investigator



Pythagorean Theorem Investigation (Chapter 6, Section 4)
Read Me - Pythagorean Theorem Instructions (Word Format) (59.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 6.4: Pythagorean Theorem (15.0K)


Trend Lines Investigation (Chapter 7, Section 1)
Read Me - Trend Lines Instructions (Word Format) (95.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 6.4: Pythagorean Theorem (15.0K)



*Standard Deviation Investigation (Chapter 7, Section 2)
Read Me - Standard Deviation Instructions (Word Format) (84.0K)

     Click here to begin the Standard Deviation Investigator



*Dice Roll Investigation (Chapter 7, Section 3)
Read Me - Dice Roll Instructions (Word Format) (51.0K)

     Click here to begin the Dice Roll Investigator



*Coin Toss Investigation (Chapter 8, Section 1)
Read Me - Coin Toss Instructions (Word Format) (78.0K)

     Click here to begin the Coin Toss Investigator



Probability Machines Investigation (Chapter 8, Section 2)
Read Me - Probability Machines Instructions (Word Format) (49.0K)



Properties of Triangles Investigation (Chapter 9, Section 1)
Read Me - Properties of Triangles Instructions (Word Format) (88.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 9.1: Properties of Triangles (17.0K)


Inscribed Angles in Circles Investigation (Chapter 9, Section 2)
Read Me - Inscribed Angles in Circles Instructions (Word Format) (46.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 9.2: Inscribed Angles in Circles (15.0K)


Pyramid Patterns Investigation (Chapter 9, Section 3)
Read Me - Pyramid Patterns Instructions (Word Format) (37.0K)



Mirror Cards Investigation (Chapter 9, Section 4)
Read Me - Mirror Cards Instructions (Word Format) (36.0K)



Measuring Angles and Areas Investigation (Chapter 10, Section 1)
Read Me - Measuring Angles and Areas Instructions (Word Format) (53.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 10.1: Measuring Angles and Areas (17.0K)


Area Relationship Investigation (Chapter 10, Section 2)
Read Me - Area Relationship Instructions (Word Format) (37.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 10.2: Area Relationships (13.0K)


Areas and Volumes Investigations (Chapter 10, Section 3)
Read Me - Areas and Volumes Instructions (Word Format) (35.0K)



Laboratory Investigation (Chapter 11, Section 1)

Read Me - Laboratory Investigation (29.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 11.1:Paper Folding (15.0K)


Tessellations Investigation(Chapter 11, Section 2)
Read Me - Tessellations Instructions (Word Format) (35.0K)

Click on Geometer's Sketchpad in the left menu for information
GSP file--Investigation 11.2: Tessellations (15.0K)


Pantographs Investigation (Chapter 11, Section 3)
Read Me - Pantographs Instructions (Word Format) (44.0K)







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