Applying Algebraic Thinking Data

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.