The editors of Mathematics Teacher appreciate the interest of readers and value the views of those who write in with comments. The editors ask that name and affiliation including email address be provided at the end of their letters. This September 2016 Reader Reflections, provides reader comments on the following articles: (1) "Innocent…

This article presents the authors' response to Asha K. Jitendra's Response to Xin and Zhang ("The Journal of Educational Research," 2009, Vol. 102, No. 6). The claim of "factual errors, including inappropriate quotes, misrepresentation of information, and inadequate scholarship in Xin and Zhang's text" are not justified. In this rejoinder, the…

Discusses a novel approach to word problems that involves linear relationships between variables. Argues that working stepwise through intermediates is the way our minds actually work and therefore this should be used in solving word problems. (JRH)

This paper is an attempt at clarifying the concept of "problem," in order to improve the teaching of problem solving. Four categories are employed in the analysis: formulation, context, solutions, and methods of approach. Examples are included. (MNS)

It is argued that mathematical modelling is important in teaching mathematics and that teachers have to create cultural support for it in the classroom. Posing an unsolvable problem for students may reveal the culture of the classroom as it exists, but its contribution to developing the needed culture that supports mathematical modelling appears…

It is argued that students who appear to ignore common sense and real-world knowledge in their approach to mathematics word problems in school are often behaving sensibly given the situation. The improvement of mathematics word problems for teaching will require changes in teacher beliefs and the use of modelling as an activity of organizing. (SLD)

Presents three open-ended problems as a basis for discussing concerns and possible hazards in their solution, including partial answers or unjustified guesses, and considers the appropriate use of these types of problems. Appendices include problem solutions. (MKR)

An alternative explanation is presented for the pattern of relative difficulty of arithmetical word problems to that suggested in a 1983 article. It is argued, that for many problems, much of the symbolic manipulation is accomplished externally, not internally. (MNS)

Experiments in strategy instruction for mathematics have been conducted using three models (direct instruction, self-instruction, and guided learning) applied to the tasks of computation and word problem solving. Results have implications for effective strategy instruction for learning disabled students. It is recommended that strategy instruction…

Discusses the role of computer-assisted instruction in teaching thinking skills and presents a case study in teaching domain-specific strategies. A videodisc-based program called "Mastering Ratios and Word Problems Strategies" is described, and the debate over teaching broad-based thinking processes versus content-specific skills is…

Considers the reasons that mathematical word problems are particularly difficult for remedial students. Describes the use of language-oriented teaching techniques in helping students to understand and solve word problems and to recognize that English and mathematics are two overlapping language systems. (PAA)

This article reviews current knowledge about using computers to teach problem-solving skills to students with learning disabilities (LD). It presents the case for use of hypermedia to improve students' mathematics problem-solving abilities. Specific suggestions are given for applying hypermedia to cognitive strategy instruction and the graduated…

Considers children's literature as a tool for teaching mathematics. Ways that children's literature can help achieve the goals established by the National Council of Teachers of Mathematics are discussed, and use of children's books to explore topics such as measurement, multiplication, estimation, and subtraction is examined. A bibliography of 41…

Presents the text of a message sent to Susan Gerofsky by Robert Thomas after reading her article on a linguistic and narrative view of word problems in mathematics education. Gerofsky's response is also included. (DDR)

An understanding-based approach to teaching arithmetic word problems is used in the Training Arithmetic Problem Solving Skills (TAPS) research project, for which four semantic schemas or problem representations have been revised and adopted: Combine, Compare, Change, and Vary. It is hypothesized that a good problem solver identifies the schema of…