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DiVito, Arthur N. – Mathematics Teacher, 2018

Mathematics has been taught throughout history without much more than a straightedge, a compass, and an abacus. So there is little question that all the major concepts of mathematics can be delivered without the aid of modern technology. But clearly, just the time-saving aspect of using technology can greatly enhance the art of teaching. In this…

Descriptors: Educational Technology, Technology Uses in Education, Mathematics Instruction, Computer Software

Huillet, Danielle – For the Learning of Mathematics, 2009

This paper analyses how the mathematical knowledge needed by a teacher has been described by several mathematics educators, all based on Shulman's notions of Subject Matter Knowledge and Pedagogical Content Knowledge. In particular, it looks at the notion of Mathematics Knowledge for Teaching, as elaborated by Ball and her research group. It then…

Descriptors: Mathematics Education, Anthropology, Knowledge Base for Teaching, Foreign Countries

McGinn, Kelly M.; Lange, Karin E.; Booth, Julie L. – Mathematics Teaching in the Middle School, 2015

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

Descriptors: Algebra, Mathematical Concepts, Fundamental Concepts, Misconceptions

Kajander, Ann – Canadian Journal of Education, 2010

Teachers' understanding of the elementary school mathematics curriculum forms part, but not all, of the newly emerged field of mathematics for teaching, a term that describes the specialised mathematics knowledge of teachers. Pre-service teachers from a one-year teacher preparation program were studied in each of three years, using a…

Descriptors: Preservice Teacher Education, Elementary School Mathematics, Methods Courses, Teacher Education Curriculum

Paolillo, Bonaventura; Rizzo, Piermichele; Vincenzi, Giovanni – International Journal of Mathematical Education in Science and Technology, 2017

In this paper, we give possible suggestions for a classroom lesson about an application of probability using basic mathematical notions. We will approach to some combinatoric results without using "induction", "polynomial identities" nor "generating functions", and will give a proof of the "Vandermonde…

Descriptors: Probability, Mathematical Logic, Validity, Foreign Countries

Roy, George J.; Hodges, Thomas E.; Graul, LuAnn – Mathematics Teaching in the Middle School, 2016

Who will make a better estimate concerning the number of jelly beans in a jar, a single person or a group of people? On one side of the debate is the notion that a person would make a better decision because he or she uses unique knowledge that the group may not possess. On the opposite side of the argument is the claim that because of their…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Teaching Methods

Rudd, Loretta C.; Satterwhite, Macy; Lambert, Matthew C. – Dimensions of Early Childhood, 2010

Mathematical Mediated Language (MML) is a teaching technique designed to enhance children's learning. Teachers who use MML engage in a dialogue with children about mathematics concepts that apply to the activity in which they are engaged. This dialogue links "conceptually related linguistic and mathematical knowledge." In other words, teachers…

Descriptors: Mathematics Education, Play, Learning Motivation, Mathematical Concepts

Modica, Erasmo – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

This article describes an activity that can be carried out in one of the final classes of Italian secondary schools. The aim of the activity is to stimulate pupil curiosity, demonstrating that Mathematics is not a barren subject and allowing the students, according to an interdisciplinary point of view, to investigate some literary works and the…

Descriptors: Interdisciplinary Approach, Mathematics, Mathematics Instruction, Mathematics Education

Evans, Ryan; Lindner, Brett; Shi, Yixun – International Journal of Mathematical Education in Science and Technology, 2011

This article presents a few methods for generating Sudoku puzzles. These methods are developed based on the concepts of matrix, permutation, and modular functions, and therefore can be used to form application examples or student projects when teaching various mathematics courses. Mathematical properties of these methods are studied, connections…

Descriptors: Student Projects, Student Interests, Puzzles, Mathematics Instruction

Ferme, Elizabeth – Australian Mathematics Teacher, 2014

Education professionals, regardless of their specialist area, are broadly aware of the importance of numeracy. Internationally, definitions of numeracy (known elsewhere as mathematical literacy or quantitative reasoning), describe "an individual's capacity to formulate, employ and interpret mathematics in a variety of contexts... reasoning…

Descriptors: Numeracy, Teaching Experience, Teacher Competencies, Teaching Skills

McDonough, Andrea – Australian Primary Mathematics Classroom, 2016

Early years mathematics classrooms can be colourful, exciting, and challenging places of learning. Andrea McDonough and fellow teachers have noticed that some students make good decisions about using materials to assist their problem solving, but this is not always the case. These experiences lead her to ask the following questions: (1) Are…

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Thinking Skills

Zelkowski, Jeremy S. – Mathematics Teacher, 2013

Principles and Standards for School Mathematics (NCTM 2000) states, "Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning." The focus on reasoning and sense making with technology in the lesson presented in this article will enable students to do more…

Descriptors: Mathematics Instruction, Educational Technology, Mathematical Concepts, Teaching Methods

Onion, Alice – Mathematics Teaching, 2011

One may have heard of Bowland maths and will know something of the "case studies" that were published in 2008. These are substantial mathematics projects, taking five hours, or more, to complete. Most are set in real or realistic contexts, like "designing a smoothy"--Product Wars, or "devising plans to improve road safety"--Reducing Road…

Descriptors: National Curriculum, Mathematics Curriculum, Case Studies, Curriculum Development

Wernet, Jamie L. W. – Mathematics Teaching in the Middle School, 2016

When the author returned to teaching after several years in graduate school, she came armed with knowledge and visions of a student-centered classroom. Her experiences in a doctoral program taught her much about effective mathematics instruction and rekindled her desire to teach. However, a student-centered classroom reflected a major shift in…

Descriptors: Mathematics Instruction, Mathematics Teachers, Student Centered Curriculum, Problem Based Learning

Bintas, Jale – International Journal of Environmental and Science Education, 2008

This study is based on the principle that the mathematical anxiety in preservice kindergarten teachers-to-be should be removed and they should be encouraged towards mathematics. It is expected from teachers-to-be who are able to construct this confidence to prepare exercises improving mathematical ideas for their students. This study was carried…

Descriptors: Attitude Measures, Kindergarten, Geometric Concepts, Mathematics Instruction