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Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications

Raje, Sonali; Krach, Michael; Kaplan, Gail – Mathematics Teacher, 2013

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

Descriptors: College School Cooperation, Mathematics Instruction, Secondary School Mathematics, Problem Solving

Burger, Lance – Mathematics Teacher, 2010

Constructivism has constituted a predominant philosophical trend in mathematics education, but its implementation in the classroom has proven to be "far more difficult than the reform community acknowledges". This difficulty may be due in part to administrative cultures that might insist on more procedural types of instruction aimed at testing, in…

Descriptors: Constructivism (Learning), Mathematics Education, Mathematics Activities, Biology

Salsovic, Annette R. – Mathematics Teacher, 2009

A WebQuest is an inquiry-based lesson plan that uses the Internet. This article explains what a WebQuest is, shows how to create one, and provides an example. When engaged in a WebQuest, students use technology to experience cooperative learning and discovery learning while honing their research, writing, and presentation skills. It has been found…

Descriptors: Internet, Web Sites, Inquiry, Lesson Plans

Parker, Dennis – Mathematics Teacher, 2005

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

Descriptors: Active Learning, Mathematics Instruction, Geometric Concepts, Geometry

Peer reviewed

Touval, Ayana – Mathematics Teacher, 1997

Consideration of a definite integral in an advanced calculus class led to a great deal of mathematical thinking and to the joy of discovery. Graphing calculators allowed students to investigate quick solutions which should be regarded as stepping stones to additional investigation and rigorous proof. With slight modifications to their proofs,…

Descriptors: Calculators, Calculus, Computation, Discovery Learning

Peer reviewed

Lancaster, Ron; Delisi, Vince – Mathematics Teacher, 1997

Describes a mathematics trail created on the campus of Exeter Academy and in the town of Exeter, New Hampshire. A series of problems and puzzles enabled teachers to teach mathematics outdoors. Novel questions were created to permit students to look at things from a different perspective. Participants were often inspired to create questions of…

Descriptors: Discovery Learning, High Schools, Learning Activities, Mathematical Enrichment