My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition
Jonathan Cornick, Queensborough Community College
Michael Guy, Queensborough Community College
Copyright Year: 2016
Publisher: CUNY Academic Works
Conditions of Use
The text has a very easy to use table of contents that quickly directs you to the different areas studied. The material is fairly comprehensive for a basic algebra course, but is limited in its coverage of quadratics, work with radicals, and work... read more
The text has a very easy to use table of contents that quickly directs you to the different areas studied. The material is fairly comprehensive for a basic algebra course, but is limited in its coverage of quadratics, work with radicals, and work with other functions.
The material was clearly presented and easy to follow.
The text sought to introduce material emphasizing conceptual development as well as procedural skills. Algebraic equations were related to balancing weights on a scale. Signed numbers were connected to debt (for negatives) and income (for positives). As suggested by the book title, the focus is on elementary algebra skills and students are carefully guided through the development of those skills.
The greatest strength of this text is in its clarity. Problems and skills are carefully presented, providing excellent diagrams and distraction-free organization. While connections within topics is presented it is done succinctly and precisely.
The text emphasizes connections between ideas. The balancing of weights used to introduce solving equations is revisited when solving equations involving more than one variable. A similar style is used to introduce each new skill.
The text has easily sectioned topics that can be assigned with individual lessons.
While some of the topics may be in a different order than seen in other textbooks (for instance, integers following the solving of equations), connections are quickly made between the topics to allow for application of the new skills within the framework of prior skills.
The text is very clear and easy to navigate. Images are clear.
The text is very readable.
One weakness of the material is lack of context for most of the material. Skills are learned procedurally without being connected to cultural or application contexts.
The authors of this textbook also created electronic homework that requires a Maple license at the host school. While I was unable to review the electronic homework, the authors seemed willing to make this available with the understanding that the host school would need to use its own Maple license to run the homework. The material provides good structure for basic algebra skills. For a full course of high school algebra, the material should be supplemented with more contextual problems and seek to extend the basics with more challenging problems and topics. The content would be helpful for developmental mathematics courses at the university level where students need a simple, structured delivery to help develop skills.
Table of Contents
Linear Equations And Inequalities
- GPS 1: Understanding Linear Equations
- GPS 2: Solving Linear Equations With Whole Numbers
- GPS 3: Adding Signed Numbers
- GPS 4: Subtracting Signed Numbers
- GPS 5: Multiplying And Dividing Signed Numbers
- GPS 6: Solving Linear Equations With Signed Numbers
- GPS 7: Translating Words Into Expressions And Equations
- GPS 8: Solving Linear Inequalities, Part 1
- GPS 9: Solving Linear Inequalities, Part 2
- GPS 10: Solving Linear Equations With Fractions
- GPS 11: More Linear Equations With Fractions
- GPS 12: Solving Literal Linear Equations
The Coordinate Plane And Lines
- GPS 13: Introduction To The Coordinate Plane
- GPS 14: Intercepts Of A Line
- GPS 15: Slope And Equations Of A Line
- GPS 16: The Slope-Intercept Equation Of A Line
- GPS 17: Slope-Intercept Equation And Graphing
- GPS 18: Graphing Lines In Slope-Intercept Form
- GPS 19: Finding An Equation Of A Line From Its Graph
- GPS 20: Horizontal And Vertical Lines
Systems Of Linear Equations
- GPS 21: Introduction To Systems Of Linear Equations And Solving Graphically
- GPS 22: More On Solving Systems Graphically
- GPS 23: Solving Systems Of Linear Equations Algebraically
- GPS 24: More On Solving Systems Algebraically
- GPS 25: Rules Of Exponents, Part 1
- GPS 26: Rules Of Exponents, Part 2
Polynomials And Operations
- GPS 27: Introduction To Polynomials And Operations
- GPS 28: Multiplying Polynomials
- GPS 29: Removing The Greatest Common Factor
- GPS 30: Factoring By Grouping
- GPS 31: Factoring Trinomials By Grouping – Part 1
- GPS 32: Factoring Trinomials By Grouping – Part 2
- GPS 33: Factoring Trinomials By Grouping – Part 3
- GPS 34: Factoring Trinomials By Grouping – Part 4
- GPS 35: Factoring A Difference Of Squares
- GPS 36: Multistep Factoring
- GPS 37: Solving Quadratic Equations By Factoring
- GPS 38: Evaluating Algebraic Expressions
Square Roots And Operations
- GPS 39: Introduction To Square Roots
- GPS 40: Operations With Square Roots
- GPS 41: Pythagorean Theorem
About the Book
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
About the Contributors
Jonathan Cornick is an Associate Professor in the Mathematics and Computer Science Department at Queensborough Community College,
G. Michael Guy is an Associate Professor of Mathematics at a campus of The City University of New York (CUNY) in New York City.,
Karan Puri an Associate Professor in the Department of Mathematics and Computer Science at the City University of New York's (CUNY's) Queensborough Community College.