MATHEMATICAL INVESTIGATIONS

Reflecting AMATYC and NCTM standards, and based on current research about the teaching and learning of mathematics, Mathematical Investigations makes 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. 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. The function concept is central, and is explored through multiple representations. Variables, notation, and process are explored explicitly rather than assuming students have mastered these concepts in previous courses. Content is examined 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 to help students discover patterns and interpret data intelligently. Students are encouraged to analyze data in numerous ways and to connect their analysis to the basic functions studied in algebra.