Listed below are 34 investigations, one for each of the 34 sections of Mathematics For Elementary Teachers: A Conceptual Approach, Fifth Edition. These 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. The Mathematics Investigator software may be downloaded and is designed for conveniently generating large amounts of data for the 14 investigations below which are marked by an asterisk.

Calculator Investigation 1.1	Four-Digit Numbers
*Computer Investigation 1.2	Triangular Numbers
*Computer Investigation 1.3	Palindromic Sums
*Computer Investigation 2.1	Consecutive Numbers
Graphing Calculator Investigation 2.2	Graphs of Functions
*Computer Investigation 2.3	Differences of Squares
Calculator Investigation 3.1	The Number 6174
*Computer Investigation 3.2	Palindromic Differences
*Computer Investigation 3.3	Number Chains
Calculator Investigation 3.4	Sums and Differences of Square Numbers
*Computer Investigation 4.1	Frequency of Primes
*Computer Investigation 4.2	Factorizations
*Computer Investigation 5.1	Integer Differences
Laboratory Investigation 5.2	Paper Folding
Laboratory Investigation 5.3	Fraction Patterns
*Computer Investigation 6.1	Repeating Decimals
Laboratory Investigation 6.2	Digit Draw
*Computer Investigation 6.3	Palindromic Decimals
Laboratory Investigation 6.4	Pythagorean Theorem
*Computer Investigation 7.1	Standard Deviation
Graphing Calculator Investigation 7.2	Trend Lines
*Computer Investigation 7.3	Dice Roll Simulation
*Computer Investigation 8.1	Coin Toss Simulation
Laboratory Investigation 8.2	Probability Machines
Computer Investigation 9.1	Properties of Triangles
Computer Investigation 9.2	Inscribed Angles in Circles
Laboratory Investigation 9.3	Pyramid Patterns
Laboratory Investigation 9.4	Mirror Cards
Computer Investigation 10.1	Measuring Angles and Areas
Computer Investigation 10.2	Area Relationships
Computer Investigation 10.3	Approximating Areas and Volumes
Laboratory Investigation 11.1	Paper folding
Laboratory Investigation 11.2	Tessellations
Laboratory Investigation 11.3	Pantographs