Mathematical Investigations: An Introduction to Algebraic Thinking : Concepts and Processes for the College Student

Science & Math

DeMarois, Phil

Whitkanack, Darlene

McGowen, Mercedes

Mathematics

Harpercollins College Div

Built on AMATYC and NCTM standards, this book takes an active learning approach, focusing on collaborative for small groups. Independent learning is encouraged as problem-solving skills illustrate connections among mathematic ideas as readers discover and build on concepts explored as a group, as the book focuses on learning in a social context. Each section of a chapter opens with the investigation of a problem, in which readers gather data and collaborate on investigative activities. The book's discussion summarizes matheatic ideas gained from the investigations. At the end of each section concept maps enable readers to devise key ideas and draw connections between aspects of the concepts.

Mathematical Investigations: An Introduction to Algebraic Thinking

Addison-Wesley Educational Publishers

The Series' Approach Incorporating the AMATYC standards, the DeMarois/McGowen/Whitkanack series takes an active-learning approach to Introductory Algebra and Intermediate Algebra, focusing on collaborative work both in and out of class. The problem-solving skills presented in these texts encourage independent learning and emphasize connections among mathematical ideas to help students better understand and build on newly encountered concepts. Through discovery-based techniques, students are encouraged to explore mathematical ideas on the calculator and/or computer before the ideas are discussed in class. This innovative approach helps students make mathematical discoveries, supports small-group work, and reduces the instructor's role as a lecturer.

Applying Algebraic Thinking to Data: Concepts and Processes for the Intermediate Algebra Student

McGowen, Mercedes A.

Addison-Wesley

Reflective of AMATYC and NCTM standards for teaching mathematics, this text (the second in a series of two texts) aims to make mathematics truly accessible to all students by taking an active approach to learning. Focused on mathematical reasoning and problem-solving strategies, this text presents a series of carefully sequenced investigations where students gather data and work collaboratively to discover key concepts. The text is based on multiple representations of the function concept, and students approach functions from a data-analysis perspective to develop a richer understanding of the material. In addition, this text explores variables, notation, and processes explicitly rather than assuming students have mastered these concepts in previous courses. Content is explored in depth, and contextual problems are revisited throughout the text to create a spiral that gives students multiple opportunities to master important skills and concepts.Graphing calculators are integrated throughout the text to help students discover patterns and interpret data intelligently. Students construct their knowledge of a particular topic in a real-world context and then reinforce this knowledge through reflection, practice, and synthesis with other topics as they work through the text.

Built on AMATYC and NCTM standards, this book takes an active learning approach, focusing on collaborative for small groups. Independent learning is encouraged as problem-solving skills illustrate connections among mathematic ideas as readers discover and build on concepts explored as a group, as the book focuses on learning in a social context. Each section of a chapter opens with the investigation of a problem, in which readers gather data and collaborate on investigative activities. The book's discussion summarizes matheatic ideas gained from the investigations. At the end of each section concept maps enable readers to devise key ideas and draw connections between aspects of the concepts. For anyone interested concepts and processes or seeking an introduction to algebra.

Mathematical Investigations: Concepts and Processes for the Introductory Algebra Student (2nd Edition)

Reflective of AMATYC and NCTM standards for teaching mathematics, this text (the second in a series of two texts) aims to make mathematics truly accessible to all students by taking an active approach to learning. Focused on mathematical reasoning and problem-solving strategies, this text presents a series of carefully sequenced investigations where students gather data and work collaboratively to discover key concepts. The text is based on multiple representations of the function concept, and students approach functions from a data-analysis perspective to develop a richer understanding of the material. In addition, this text explores variables, notation, and processes explicitly rather than assuming students have mastered these concepts in previous courses. Content is explored in depth, and contextual problems are revisited throughout the text to create a spiral that gives students multiple opportunities to master important skills and concepts.
Graphing calculators are integrated throughout the text to help students discover patterns and interpret data intelligently. Students construct their knowledge of a particular topic in a real-world context and then reinforce this knowledge through reflection, practice, and synthesis with other topics as they work through the text.

Applying Algebraic Thinking to Data: Concepts and Processes for the Intermediate Algebra Student (2nd Edition)

APPLYING ALGEBRAIC THINKING TO DATA: CONCEPTS AND PROCESSES FOR THE INTERMEDIATE ALGEBRA STUDENT

Kendall/Hunt Publishing

Ti-82 Mini-Labs Algebraic Investigations

Math Ware

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