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Silver, Edward A., Ed.; Kenney, Patricia Ann, Ed. – National Council of Teachers of Mathematics, 2015

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

Descriptors: Theory Practice Relationship, Mathematics Education, Educational Research, Common Core State Standards

Larkin, Kevin – Australian Primary Mathematics Classroom, 2016

Trying to find quality apps for use in mathematics classes can be time consuming and bewildering. This article outlines a process for evaluating apps and provides teachers with access to comprehensive qualitative evaluations of 53 geometrical apps based on pedagogical, mathematical and cognitive fidelities.

Descriptors: Geometry, Geometric Concepts, Mathematics Education, Computer Oriented Programs

National Council of Teachers of Mathematics, 2017

When it comes to mathematics, standards aligned is achievement alignedâ€¦ In the short time since "The Common Core Mathematics Companions" for grades K-2, 3-5 and 6-8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics…

Descriptors: Mathematics Instruction, Academic Standards, Common Core State Standards, High Schools

Huber, Daniel; Jones, Leslie; Helminski, Christine – Australian Mathematics Teacher, 2015

The use of collaborative problem solving within mathematics education is imperative in this day and age of integrative science. The formation of interdisciplinary teams of mathematicians and scientists to investigate crucial problems is on the rise, as greater insight can be gained from an interdisciplinary perspective. Mathematical modelling, in…

Descriptors: Problem Solving, Mathematics, Mathematics Education, Mathematical Models

Paoletti, Teo; Monahan, Ceire; Vishnubhotla, Madhavi – Mathematics Teacher, 2017

GeoGebra is a free tool that has the potential to change both how and what is taught in mathematics. GeoGebra allows teachers and students to explore various mathematical ideas either through the full applet (https://www.geogebra.org/graphing) or by sharing applets via GeoGebra's Materials site (https://www.geogebra. org/materials/). It has many…

Descriptors: Computer Oriented Programs, Mathematics Instruction, Learner Engagement, Geometry

Sriraman, Bharath, Ed. – IAP - Information Age Publishing, Inc., 2012

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

Descriptors: Foreign Countries, Majors (Students), Mathematics Education, Calculus

Paoletti, Teo J. – Mathematics Teacher, 2013

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

Descriptors: Mathematics Instruction, Relevance (Education), Algebra, Mathematics Skills

Scimone, Aldo – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

The international debate about experimental approaches to the teaching and learning mathematics is very current. While number theory lends itself naturally to such approaches, elementary geometry can also provide interesting starting points for creative work in class. This article shows how simple considerations about right triangles and the…

Descriptors: Number Concepts, Mathematics Instruction, Geometry, Geometric Concepts

Prasad, Priya V. – Mathematics Teaching in the Middle School, 2016

How can we, as teachers, encourage students to move from drawing geometric objects to constructing them and thereby build their mathematical reasoning skills? One way to encourage students to construct instead of draw shapes and to help students develop more robust understandings of geometric relationships and constructions is to use interactive…

Descriptors: Middle School Students, Middle School Teachers, Mathematics, Mathematics Education

Notari-Syverson, Angela; Sadler, Faith H. – Young Exceptional Children, 2008

Learning about mathematics begins in the early years. Through their everyday activities, young children build important foundational knowledge and understanding of mathematics, especially when adults provide specific opportunities to learn and practice concepts and skills. Young children develop early on an informal understanding of important…

Descriptors: Mathematics Education, Preschool Children, Mathematical Concepts, Emergent Literacy

Manouchehri, Azita – Mathematics Teacher, 2007

"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…

Descriptors: Mathematics Instruction, Inquiry, Mathematics Skills, Mathematical Concepts

Enderson, Mary C.; Klerlein, Jacob T.; Johnson, Jason D. – New England Mathematics Journal, 2010

Today's classrooms pose many challenges for new mathematics teachers joining the teaching force. As they enter the teaching field, they bring a wide range of mathematical experiences that are often focused on calculations and memorization of concepts rather than problem solving and representation of ideas. Such experiences generally minimize what…

Descriptors: Mathematics Education, Mathematics Teachers, Teacher Student Relationship, Computation

Poon, Kin Keung; Wong, Hang-Chi – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

This article adapts the problem-solving model developed by Polya to investigate and give an innovative approach to discuss and solve an optimization problem in geometry: the Regiomontanus Problem and its application to football. Various mathematical tools, such as calculus, inequality and the properties of circles, are used to explore and reflect…

Descriptors: Geometric Concepts, Geometry, Calculus, Mathematics

Cetner, Michelle – Mathematics Teacher, 2015

When thinking about student reasoning and sense making, teachers must consider the nature of tasks given to students along with how to plan to use the tasks in the classroom. Students should be presented with tasks in a way that encourages them to draw connections between algebraic and geometric concepts. This article focuses on the idea that it…

Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra

Griffiths, Martin – International Journal of Mathematical Education in Science and Technology, 2013

In this article we highlight how a simple classroom activity associated with the dissection of rectangles into right-angled triangles can lead on to a number of interesting explorations for students following a post-16 mathematics course. Several results connected with this construction are obtained, and some of the educational benefits of…

Descriptors: Geometric Concepts, Mathematics Instruction, Class Activities, Mathematics Activities