Computational thinking (CT) has been an increasing focus of research and practice since the seminal paper by Wing in 2006, especially in pre-college (K-12) education. Barr and Stephenson defined CT as a problem-solving methodology that can be automated, transferred, and applied across disciplines. With the challenges of fitting CT into already…

Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…

This study investigated the sets of mental computation strategies used by prospective elementary teachers to compute sums and differences of whole numbers. In the context of an intervention designed to improve the number sense of prospective elementary teachers, participants were interviewed pre/post, and their mental computation strategies were…

This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…

Compares the results of a whole-class test on mental computation problems given to fifth graders who had been in a reform-based mathematics curriculum with those of students in a traditional mathematics curriculum. Reports that the students in the reform-based program performed much higher than the comparison group on all but one problem. (16…

A teacher in a large suburban elementary school in East Tennessee found that her fourth grade students had poor number sense and relied almost solely upon algorithmic procedure to solve math problems. Therefore, mental math was difficult for these students, so the daily number talks method was employed to strengthen number sense. However, no…

Suggests that strategy choice is a misleading characterization of efficient mental calculation and that teaching mental calculation methods as a whole is not conducive to flexibility. Proposes an alternative in which calculation is thought of as an interaction between noticing and knowledge. Presents an associated teaching approach to promote…

Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)

Begins with a definition of mental computation and then provides an overview of its evolution during the twentieth century. Significant benefits from teaching mental computation are highlighted, along with a framework and guidelines for instructing elementary school students. A parallel discussion is also provided for computational estimation. (RH)

Estimation of measurements is discussed, with a definition, rationale, strategies, teaching suggestions, and several references. (MNS)

This article focuses on the aspect of mental arithmetic that uses thinking strategies that are effective with large numbers as well as basic facts. Two activities are suggested for lack of the four operations. (MK)

Presents a historical overview and summary of research conducted on simple arithmetic in the past 20 years. Presents two seemingly different directions in current research, one on the role of working memory in mental arithmetic and one on the possible cognitive consequences of mathematics anxiety. Contains 108 references. (MKR)

Discusses the efforts of one Japanese company that makes abaci to demonstrate that the abacus continues to be a feasible alternative as a calculator in the elementary school mathematics curriculum. Argues that the abacus improves number sense, mental computation, and mathematics achievement for students who use the abacus. (MDH)

Presents a study in which participants were trained on nine single-digit multiplication problems over three sessions. Transfer of practice was tested with nine different multiplication problems in the fourth session for half the participants. Interprets problem-size, transfer, and retention effects within a network-interference model of mental…

Describes the success, the methods (mental, informal written, standard algorithm) and the strategies of informal written arithmetic to be observed when 300 elementary students worked on six addition and six subtraction problems with three-digit numbers. (Author/MM)