James Russo begins a discussion of the difficulty and time-consuming activity of Googling to find lesson plans and resources to keep his lessons more interesting and engaging, since such resources seem particularly scarce for math teachers. Russo writes that joining professional associations has given him ready access to higher quality resources…

In this Research Commentary, the author explores what is meant by "teaching for understanding" and delves into these questions: How does teaching for understanding interact with the backgrounds of the students who experience it or the attributes of the contexts in which they learn? Which empirical findings are context dependent, and…

The authors of this article strongly advocate for a change to the current Australian model of primary education in order to, among other things, establish the concrete practicalities of systematic mathematics thinking thereby limiting the "re-teaching" time required of secondary school mathematics teachers; bring a clear focus to the…

The recent review of Australian Curriculum represents an opportunity to significantly change the teaching of primary mathematics in Australia and perhaps elsewhere. The current curriculum document presents content in a linear and compartmentalized manner that dominates its structure and doesn't explicitly accentuate the links and connections found…

In this commentary, the author reflects on four studies that have greatly expanded the knowledge base on effective interventions in mathematics, and he provides four rigorous experimental studies of approaches for students likely to experience difficulties learning mathematics over a large grade-level span (pre-K to 4th grade). All of the…

In this article, I (1) argue for approaching processes, events-in-the-making, by means of process categories--to learn, to teach--not by means of categories that denote differences in state and (2) exemplify doing and writing research consistent with process philosophy. To understand process we must not think, research, and write them in terms of…

As a result of his review of 52 sets of K-12 mathematics standards--for the 50 U.S. states, the District of Columbia, and the Common Core State Standards Initiative--the author finds that the majority of U.S. states fail to focus on the mathematics that elementary school children need to learn to be successful in college math. Arithmetic is the…

In a new era of Common Core State Standards (CCSS), teachers are expected to provide more rigorous, coherent, and focused curriculum at every grade level. To respond to the call for higher expectations across the curriculum and certainly within reading, writing, and mathematics, educators should work closely together to create mathematically…

As curriculum scholars in South Africa express concerns about the failures of the outcomes-based curriculum policy that has been introduced post-apartheid it is of increased importance to try and understand the professional development that is required by teachers for its successful implementation. As a contribution to the development of such…

If educational research stemming from colleges of education is sometimes out of touch, scholarship engaged by school districts and state boards of education is often dangerous in its distant view but arms-length reach. Teaching and learning are enhanced when members of the school community engage in collective grounded efforts to make real change.…

This article first describes some of the basic skills and knowledge that a solid elementary school mathematics foundation requires. It then elaborates on several points germane to these practices. These are then followed with a discussion and conclude with final comments and suggestions for future research. The article sets out the five…

Sandy Schuck's cross-sectional self-study (see EJ863273) examines her work as a teacher educator. She views herself as responsible for helping elementary school teachers to develop as teachers who will enact a reformed approach to mathematics. Schuck presents a wonderful tangle of findings and challenges, framings, and reframings. As a teacher…

In "Elementary School Mathematics Priorities," Wilson (2009 [this issue]) presents a list of five core concepts that students should master in elementary school so that they can succeed in algebra. As researchers in mathematics education, the authors enthusiastically endorse Wilson's recommendations. Learning algebra is key to further study of…

After experiencing a Developing Mathematical Ideas (DMI) class on the construction of algebraic concepts surrounding zero and negative numbers, the author conducted an interview with a first grader to determine the youngster's existing level of understanding about these topics. Uncovering young students' existing understanding can provide focus…

The publication in June of Sir Peter Williams' review of mathematics teaching in early years' settings and primary schools came at a time when the thoughts of many teachers were turning towards a well-earned summer break. However, the report has attracted much attention and promises a fundamental shake-up of attitudes and approaches to the…