Using Technology & Problem Solving in Middle & High School

Firmly rooted in the NCTM Principles and Standards, Using Technology and Problem Solving in Middle and High School Mathematics examines why technology is essential to today's mathematics classroom, and illustrates how using technology can encourage and enhance students' study and understanding of mathematics. Inquiry-based, this text provides both a five step model and twenty-three sample investigations that demonstrate how to help students become better problem solvers through the use of four types of instructional technology: the scientific calculator, the graphing calculator, spreadsheet software, and The Geometer's Sketchpad software.Problem solving focus - including mathematical reasoning, communication, pattern recognition conjecture, and development of mathematical proof or a convincing mathematical argument. Utilizes four types of instructional technology including the scientific calculator, the graphing calculator, spreadsheet software and The Geometer's Sketchpad software. Planning Matrices - identify the NCTM Standards and Mathematical Skills and Concepts that are covered and practiced in an investigation, the Calculator Keys and Features that are introduced and used in the investigation, and the Materials that will be needed in the investigation including any activity ans solution sheets. Background Information for the Teacher - starts each section. Five step model for implementing each investigation: Step 1: Introducing the problem-solving scenario Step 2: Investigating the problem Step 3: Developing a mathematical conjecture Step 4: Testing the conjecture Step 5: Developing either a mathematical proof or a convincing mathematical argument. Follow-Up Activities -- for in-class or homework use that continue and extend the basic investigation. Graphing Calculator Modification - for the scientific calculator investigations. This section is for teachers who use the graphing calculator as a scientific calculator at the middle school or junior high school level. Spreadsheet Modification- included in investigations for which a spreadsheet can be used instead of, or in addition to, the scientific or graphing calculator. Reflections for the Teacher - point out questions a teacher might want to ask during or after the investigation including mathematical or educational issues related to the investigation that a teacher should be aware of. Related Readings - consists of articles, books, and websites related to the mathematics and/or the pedagogy of the investigation. Activity and Solution Sheets - for use in the investigation .