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Deal, Linda J.; Wismer, Michael G. – Gifted Child Today, 2010

The "Principles and Standards for School Mathematics" published in 2000 by the National Council of Teachers of Mathematics (NCTM) created a vision of mathematical concepts and processes to establish core educational guidelines for instruction from grades K to 12. The overall plan does emphasize higher level thinking, problem solving, and…

Descriptors: Gifted, Federal Legislation, Talent, Vision

Thomas, Amanda – Teaching Children Mathematics, 2017

Increasing availability of digital devices in elementary school classrooms presents exciting new opportunities for teachers to support the teaching and learning of mathematics. Although many of the math applications available for these devices focus on drill and practice of mathematical procedures, screencasting apps can help support effective…

Descriptors: Teaching Methods, Vignettes, Elementary School Mathematics, Mathematical Applications

Okumus, Samet – ProQuest LLC, 2016

According to the National Council of Teacher of Mathematics (NCTM) (2000), K-12 students should be given an opportunity to develop their spatial reasoning abilities. One of the topics that may allow students to develop their spatial skills is forming 3-dimensional objects using spinning and extrusion methods. Also, extrusion and spinning methods…

Descriptors: Middle School Students, Abstract Reasoning, Spatial Ability, Geometric Concepts

Small, Marian – Teachers College Press, 2012

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small…

Descriptors: State Standards, Student Participation, Data Analysis, Mathematics Teachers

Ojose, Bobby – Mathematics Educator, 2008

This paper is based on a presentation given at National Council of Teachers of Mathematics (NCTM) in 2005 in Anaheim, California. It explicates the developmental stages of the child as posited by Piaget. The author then ties each of the stages to developmentally appropriate mathematics instruction. The implications in terms of not imposing…

Descriptors: Mathematics Teachers, Developmental Stages, Mathematics Instruction, Piagetian Theory

Bell, Carol J. – Mathematics Teacher, 2011

Reasoning and Proof is one of the Process Standards set forth in National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics." Thus, it is important to give students opportunities to build their reasoning skills and aid their understanding of the proof process. Teaching students how to do proofs is a…

Descriptors: Mathematical Concepts, Mathematics Teachers, Mathematics Instruction, Teaching Methods

Magiera, Marta T. – Mathematics Teaching in the Middle School, 2013

An important goal of school mathematics is to enable students to formulate, approach, and refine problems beyond those they have studied, allowing them to organize and consolidate their mathematical thinking. To achieve this goal, students should be encouraged to develop expertise in a variety of areas, such as problem solving, reasoning and…

Descriptors: Mathematics Instruction, Middle Schools, Secondary School Mathematics, Middle School Students

Punches-Guntsch, Christina M.; Kenney, Erin N. – Mathematics Teacher, 2012

Many students will need remedial work in mathematics during their high school years. Some sort of help will be needed to fulfill the National Council of Teachers of Mathematics' (NCTM's) (2000) vision of a mathematics classroom that involves students having access to mathematically rich problems and being engaged in solving them. The high school…

Descriptors: Mathematics Achievement, Enrichment, Enrichment Activities, Urban Schools

Berry, Robert Q., III; Larson, Matthew R. – Phi Delta Kappan, 2019

Results on the National Assessment for Education Progress and the Program for International Student Assessment show that high school mathematics instruction is past due for a redesign. Despite calls for reform going back at least four decades, the structure of math instruction has remained largely the same. In April 2018, the National Council of…

Descriptors: High School Students, Secondary School Mathematics, Mathematics Curriculum, Curriculum Development

Nese, Joseph F. T.; Lai, Cheng-Fei; Anderson, Daniel; Park, Bitnara Jasmine; Tindal, Gerald; Alonzo, Julie – Behavioral Research and Teaching, 2010

The purpose of this study was to examine the alignment of the easyCBM[R] mathematics benchmark and progress monitoring measures to the National Council of Teachers of Mathematics "Curriculum Focal Points" (NCTM, 2006). Based on Webb's alignment model (1997, 2002), we collected expert judgments on individual math items across a sampling of forms…

Descriptors: Academic Standards, Mathematics Teachers, Benchmarking, Research Reports

Jao, Limin – Multicultural Education, 2012

The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…

Descriptors: Cooperative Learning, Teaching Methods, Mathematics Education, Mathematics Teachers

Potterfield, April; Majerus, Mary – Journal of College Science Teaching, 2008

Both the National Science Education Standards (NSES) and the National Council of Teachers of Mathematics (NCTM) recommend appropriately incorporating mathematics into other disciplines (NRC 1996; NRC 2003; NCTM 2000). With this in mind, an interdisciplinary, inquiry-based project was undertaken to incorporate mathematical analysis of data into a…

Descriptors: Cognitive Objectives, Physiology, Mathematics Instruction, Statistics

Kinman, Robin Lynn – Teaching Children Mathematics, 2010

When the author recently turned her attention to the National Council of Teachers of Mathematics (NCTM) "Principles and Standards," she was startled to see communication as key. She adjusted her teaching to meet the NCTM Communication Standard and promote communication in her classroom by providing a safe environment, developing discourse and…

Descriptors: Metacognition, Mathematics Instruction, Teaching Methods, Interpersonal Communication

Obara, Samuel – Australian Senior Mathematics Journal, 2013

The National Council of Teachers of Mathematics (NCTM, 1989, 2000) and the new "Australian Curriculum: Mathematics" for senior secondary (ACARA, 2010) highlight the importance of teaching spatial reasoning as early as preschool when mathematics is introduced. Studies have shown that there is a relationship between spatial abilities and…

Descriptors: Mathematics Instruction, Spatial Ability, Mathematical Logic, Logical Thinking

Coomes, Jacqueline; Lee, Hyung Sook – Mathematics Teaching in the Middle School, 2017

Mathematics teachers want to empower students as mathematical thinkers and doers (NCTM 2000). Specific ways of thinking and doing mathematics were described in the Process Standards (NCTM 2000); they were further characterized as habits of mind (Mark, Goldenberg, and Sword 2010); and more recently, they were detailed in the Common Core's Standards…

Descriptors: Mathematics Instruction, Student Empowerment, Formative Evaluation, Mathematics Skills