Drawing upon task-based learning designs from second language acquisition, we critique how mathematics education has primarily conceived of tasks as problems to be solved. We extend the notion of communicative gaps (e.g., opinion and information) into a framework that considers the flows of information that tasks structure and facilitate. We then…

Mathematical reasoning is now featured in the mathematics curriculum documents of many nations, but this necessitates changes to teaching practice and hence a need for professional learning. The development of children's mathematical reasoning requires appropriate encouragement and feedback from their teacher who can only do this if they recognise…

This paper examines the development of two iterations of mathematics curricula over a 15-year period for classrooms teaching in te reo Maori, the endangered Indigenous language of Aotearoa New Zealand. Similarities and differences between the two iterations are identified. Although parameters set by the New Zealand Ministry of Education about what…

The focus of this paper is on the effects of the use of the home language (i.e. isiZulu) on teachers' and learners' understanding and use of core concepts in mathematics and science at the senior phase, in contexts where the language of instruction is English. It reports on a national, collaborative, multilingual research project which attempts to…

Using data from an urban public pre-k program, the authors add to and extend the emerging evidence base of the effects of public prekindergarten programs on child school readiness. They also use data collected in treatment classrooms to examine associations between teacher characteristics, fidelity-to-curricula, dosage and child outcomes. Their…

Because most schools do not have courses in formal logic, teachers must teach this topic as it comes up naturally through class discussions in algebra, geometry, or general mathematics. This article shows how teachers can capitalize on students' ways of thinking to lead them to a greater understanding of logical relationships. (PK)

This study, part of a narrative classroom inquiry into the teaching and learning of mathematics in a Canadian elementary classroom, emerges from the three years I was a participant-observer in Janine O'Neil's 3rd/4th-grade classroom at Bay Street Community School. Drawing on the curriculum commonplaces of teacher, social milieu, subject matter,…

This paper is concerned with the issues surrounding the mathematical education of traditionally oriented Aboriginal children. A wide-ranging review of the relevant literature is presented and discussed with a view to developing more effective educational procedures. The discussion is intended to be relevant to other culture-conflict educational…

This document presents the learning goals for children participating in Georgia's prekindergarten program. Twenty-three learning goals with accompanying subgoals are delineated in the following areas: (1) language development; (2) mathematical development; (3) scientific development; (4) creative development; (5) physical development; and (6)…

This guide is designed primarily for the use of U.S. Training and Employment Service personnel and affiliated State agencies engaged in such activities as interviewing, counseling, and planning educational programs for applicants. It should also prove useful to persons involved in related activities in schools, vocational guidance or…

The article raises a series of questions regarding mathematical language. Included are "How is language involved in the development of mathematical concepts?" and "How far can one use alternative, simpler, and more informal language for the negotiation of meaning and interpretation in the teaching of mathematics?" (MK)

CURRICULUM MATERIAL FOR EDUCABLE MENTALLY RETARDED CHILDREN IS OUTLINED. THREE BROAD AREAS OF INSTRUCTION ARE--(1) SOCIAL SKILLS, INCLUDING OCCUPATIONAL TRAINING (WITH EXAMPLES OF FORMS FOR RECORD KEEPING), FAMILY LIVING, AND COMMUNITY MEMBERSHIP, (2) ARITHMETIC SKILLS, AND (3) LANGUAGE SKILLS. MATERIAL IN EACH AREA IS DEVELOPED FOR PRESENTATION…

A study was conducted to test the effectiveness of a preschool program which emphasized rapid attainment of basic academic concepts. The experimentals were 4- to 5-year-old lower class, predominantly Negro, children. For 2 years they received instruction 2 hours daily, 5 times a week, in a group where the pupil-teacher ratio was five to one. To…

This paper argues that two serious flaws are present in current mathematics learning and instruction: (1) the lack of meaning in students' mathematical knowledge; and (2) students' inability to communicate using appropriate mathematical language and ideas. The study explored the relationship between mathematics language facility and mathematics…

Presents an approach to geometry that integrates mathematics and language teaching. Suggests that mathematics is more than manipulation of numbers: it is a way of thinking about things. Argues that mathematics and language should be united especially to achieve the goal of promoting the development of analytical thinkers, as the ability to see…