The mathematics standards for many countries include teaching and learning ratios, typically with efficient algorithms and strategies (Australian Curriculum: Mathematics, Assessment and Reporting Authority, 2017; National Council of Teachers of Mathematics, 2014). In the 1990s, Cramer and Post (1993) claimed that school mathematics mostly involves…

Life tables are mathematical tables that document probabilities of dying and life expectancies at different ages in a society. Thus, the life table contains some essential features of the health of a population. Probability is often regarded as a difficult branch of mathematics. Life tables provide an interesting approach to introducing concepts…

In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we…

This research addresses the issue of how to support students' representational fluency--the ability to create, move within, translate across, and derive meaning from external representations of mathematical ideas. The context of solving linear equations in a combined computer algebra system (CAS) and paper-and-pencil classroom environment is…

Stephanie Whitney teaches in the department of teacher education at DePaul University in Chicago, Illinois. Her interest is in how students reason and make sense of mathematics, and how teachers can promote this behavior. Students should engage in reasoning and sense making daily in their mathematics classes. It is often through students'…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

This study evaluates the effects of an intervention aimed at improving representational flexibility in linear-function problems. Forty-nine students aged 13-16 participated in the study. A pretest-intervention-posttest design with an experimental and control group was used. At pretest, both groups solved a choice test, where they could freely…

THIS INVESTIGATION IS CONCERNED WITH THE ASSOCIATION BETWEEN THE STUDENT TEACHING LOCALE, THE PRESENT JOB LOCALE, AND THE CONGRUENCE OF STUDENT TEACHING AND JOB LOCALE WITH THE PERCEIVED DIFFICULTIES OF BEGINNING TEACHERS. THE SUBJECTS WERE 136 FIRST YEAR TEACHERS FROM THE JUNE 1963 CLASS OF QUEENS COLLEGE. THE INSTRUMENT CONSISTED OF 70 ITEMS…

Many problem-solving activities include mathematical principles but students do not use them during the design and experimentation phases before creating a prototype or product. Restricting the amount and/or type of materials available to students will require them to calculate and requisition the materials needed. (JOW)

Describes an engineering design course that is taught at the postsecondary level but can be adapted for secondary education. It presents the steps in the design process and illustrates, using a matrix, the tradeoffs necessary in design. (JOW)

A study to describe the extent to which cooperating and student teachers (n=15) in agriculture used the problem- solving approach to teaching found that they spent less than 20% of their instructional time using it. Cooperating teachers use most of their time maintaining students' interest in the subject matter; student teachers spent time seeking…

The Middle East decision making game has been developed to provide college level political science students with some indication of the complexities of international political situations. The central issue examined in the game is the way in which perceptions of a conflict relate to foreign policy decision. The game is divided into two sections. In…

The purpose of this study was to use three public school action research teams to identify the most desirable, feasible, and effective system-centered strategies, peer-centered strategies, personnel-centered strategies, and child-centered strategies for promoting a sense of belonging. One hundred and sixty four strategies were examined. Eight…

Article focused on a report of a 10-year evaluation study of the experimental introduction of French into the primary school curriculum. (Author/RK)

This theoretical analysis articulates verbal rule properties and use implications, describes an empirical study examining characteristics of problem solving performance when verbal rules are instructed as a problem solving method, and discusses role of verbal rules in problem solving and implications for learning procedural skills. (MBR)