This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals…

This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

Internationally, mathematics education reform has been directed toward characterizing educational goals that go beyond topic/content/skill descriptions and develop students' problem solving. The Revised Bloom's Taxonomy and MATH (Mathematical Assessment Task Hierarchy) Taxonomy characterize such goals. University entrance examinations have been…

The study aimed to evaluate the 8th grade mathematics curriculum in Turkey, which was revised in 2016-2017 school year, and implemented from 2017-2018 school year on. In the study the Eisner's educational connoisseurship and criticism model was utilized. The participants of the study comprised 15 secondary school mathematics teachers selected by…

Contextualization is a method used for mathematics curriculum design within lesson plans and as a pedagogical practice in face-to-face classes. Many researchers are studying the effects of using contextualization in the teaching and the learning process for mathematics (Bottge & Cho, 2013; Perin, 2011; Young, Hodge, Edwards, & Leising,…

The "Everyday Mathematics®" curriculum aims to provide students in prekindergarten through grade 6 with multiple opportunities to learn math concepts and practice skills. Since the release of the WWC's 2010 Everyday Mathematics report, the curriculum continues to be widely used and evaluated. This updated review includes 30 studies that…

The National Council of Teachers of Mathematics calls for an increased emphasis on proof and reasoning in school mathematics curricula. Given such an emphasis, mathematics teachers must be prepared to structure curricular experiences so that students develop an appreciation for both the value of proof and for those strategies that will assist them…

The California Mathematics Standards are cynical, mind-numbing, and shallow. Instead of balancing problem solving, concept development, and skill acquisition, the standards are full of obsolete mathematics and devoid of problem solving. Students offering only an algorithm when asked for meaning have style without substance. Blind memorization is…

A report on the early stages of a research project, The Skills and Procedures of Mathematical Problem Solving in pupils of 9-13 years (SPMPS), is given. The article explores the background to the need for such a project, both from a mathematical and pedagogical point of view. (Author/MK)

Discussed are the limitations of teaching general problem-solving strategies and techniques and their relationship to transfer of learning. The lack of evidence for effective teaching strategies, curriculum reform ramifications, and alternative teaching techniques are considered. (KR)

In April 2000, the National Council of Teachers of Mathematics will release "Principles and Standards in School Mathematics," a revised document stressing conceptual understanding and reasoning. NCTM standards specify that curricula should emphasize five mathematical processes: problem solving, reasoning and proof, communication,…

This volume represents an effort to develop a definitive reference work on research in mathematics education. The reference is divided into two parts. Part 1, on the research process, focuses on problems of research methods and their relevance to research in mathematics education. Part 1 also introduces the beginner to some of the issues and…

Describes two studies of mathematical problem solving using an episode from "The Adventures of Jasper Woodbury," a set of curriculum materials that afford complex problem-solving opportunities. Discussion focuses on characteristics of problems that make solutions difficult, kinds of reasoning that dyadic interactions support, and…

"Everyday Mathematics," published by Wright Group/McGraw-Hill, is a core curriculum for students in kindergarten through grade 6 covering numeration and order, operations, functions and sequences, data and chance, algebra, geometry and spatial sense, measures and measurement, reference frames, and patterns. At each grade level, the…