Discrete Mathematics in the Schools
American Mathematical Society, National Council of Teachers of Mathematics, 1997 - Mathematics - 452 pages
This book is a collection of articles by experienced educators and explains why and how discrete mathematics should be taught in K-12 classrooms. It includes evidence for "why" and practical guidance for "how" and also discusses how discrete mathematics can be used as a vehicle for achieving the broader goals of the major effort now underway to improve mathematics education. This volume was developed from a conference that took place at Rutgers University entitled "Discrete Mathematics in the Schools: How Do We Make an Impact?". Chapters include: (1) "Discrete Mathematics in the Schools: An Opportunity To Revitalize School Mathematics" (Joseph G. Rosenstein); (2) "The Impact of Discrete Mathematics in My Classroom" (Patrick Carney); (3) "Three for the Money: An Hour in the Classroom (Nancy Casey); (4) "Fibonacci Reflections--It's Elementary!" (Janice C. Kowalczyk); (5) "Using Discrete Mathematics To Give Remedial Students a Second Chance" (Susan H. Picker); (6) "What We've Got Here Is a Failure To Cooperate" (Reuben J. Settergren); (7) "Implementing the Standards: Let's Focus on the First Four" (Nancy Casey and Michael R. Fellows); (8) "Discrete Mathematics: A Vehicle for Problem Solving and Excitement" (Margaret B. Cozzens); (9) "Logic and Discrete Mathematics in the Schools" (Susanna S. Epp); (10) "Writing Discrete(ly)" (Rochelle Leibowitz); (11) "Discrete Mathematics and Public Perceptions of Mathematics" (Joseph Malkevitch); (12) "Mathematical Modeling and Discrete Mathematics" (Henry O. Pollak); (13) "The Role of Applications in Teaching Discrete Mathematics" (Fred S. Roberts); (14) "What Is Discrete Mathematics? The Many Answers" (Stephen B. Maurer); (15) "A Comprehensive View of Discrete Mathematics: Chapter 14 of the New Jersey Mathematics Curriculum Framework" (Joseph G. Rosenstein); (16) "Discrete Mathematics in K-2 Classrooms" (Valerie A. DeBellis); (17) "Rhythm and Pattern: Discrete Mathematics with an Artistic Connection for Elementary School Teachers" (Robert E. Jamison); (18) "Discrete Mathematics Activities for Middle School" (Evan Maletsky); (19) "Putting Chaos into Calculus Courses" (Robert L. Devaney); (20) "Making a Difference with Difference Equations" (John A. Dossey); (21) "Discrete Mathematical Modeling in the Secondary Curriculum: Rationale and Examples from the Core-Plus Mathematics Project" (Eric W. Hart); (22) "A Discrete Mathematics Experience with General Mathematics Students" (Bret Hoyer); (23) "Algorithms, Algebra, and the Computer Lab" (Philip G. Lewis); (24) "Discrete Mathematics Is Already in the Classroom--But It's Hiding" (Joan Reinthaler); (25) "Integrating Discrete Mathematics into the Curriculum: An Example" (James T. Sandefur); (26) "The Status of Discrete Mathematics in the High Schools" (Harold F. Bailey); (27) "Discrete Mathematics: A Fresh Start for Secondary Students" (L. Charles Biehl); (28) "A Discrete Mathematics Textbook for High Schools" (Nancy Crisler, Patience Fisher, and Gary Froelich); (29) "Computer Science, Problem Solving, and Discrete Mathematics" (Peter B. Henderson); (30) "The Role of Computer Science and Discrete Mathematics in the High School Curriculum" (Viera K. Proulx); (32) "Discrete Mathematics Software for K-12 Education" (Nathaniel Dean and Yanxi Liu); (33) "Recommended Resources for Teaching Discrete Mathematics" (Deborah S. Franzblau and Janice C. Kowalczyk); (34) "The Leadership Program in Discrete Mathematics" (Joseph G. Rosenstein and Valerie A. DeBellis); and (35) "Computer Software for the Teaching of Discrete Mathematics in the Schools" (Mario Vassallo and Anthony Ralston). (ASK)
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