James R. Breunlin

Experiencing Mathematics: Activities to Engage the High School Student is the result of the collaborative effort of nine Adolescent Young Adult (AYA) National Board Certified Teachers (NBCTs) in mathematics. This student edition is a compilation of successful activities that prompt high school students to explore, conjecture, and reflect on their mathematical adventures—thus "experience" mathematics. The relevant nature of the activities will motivate students to pursue their investigations with vigor and take the intellectual risk necessary to construct knowledge and improve problem-solving competence. This book provides student activities grouped in algebra, geometry, and algebra 2 sections that parallel the traditional sequencing in major texts. Through activity design, students are lead through an inductive inquiry in which they conjecture, formulate, and test ideas and concepts. This inductive student-centered approach to learning will not only excite students but also increase student effort.

Experiencing Mathematics: Activities to Engage the High School Student is the result of the collaborative effort of nine Adolescent Young Adult (AYA) National Board Certified Teachers in mathematics. This teacher edition is a compilation of successful activities that prompt high school students to explore, conjecture, and reflect on their mathematical adventures—thus "experience" mathematics. The relevant nature of the activities will motivate students to pursue their investigations with vigor and take the intellectual risk necessary to construct knowledge and improve problem-solving competence. This edition will educate teachers regarding tenets of cognitive science, motivation theory, and the NCTM/NBCT standards. It will dispel the myth that the crowded curriculum does not have room for such activities and, in fact, will convince teachers that using such activities increases teacher and student motivation and achievement. The resources provide detailed instructions for each activity, along with student prompts and reflective questions for the teacher.