Studies have found that some teacher professional development programs that are based on Cognitively Guided Instruction (CGI) can increase student mathematics achievement. The mechanism through which those effects are realized has been theorized, but more empirical study is needed. In service of this need, we designed a novel measure of…

Our aim is to contribute to the body of research on learning trajectories (LTs) in mathematics by making visible a process for articulating a hypothetical learning trajectory implicit in a widely adopted, reform-based, middle-grades mathematics curriculum. In doing so, we highlight considerations, decisions, and challenges we faced as part of this…

A professional development program in Salt Lake City aims to show math teachers what it's like to be in a math class oriented around discourse and inquiry. The effort, write Meghan Everette and Benjamin Shuldiner, is helping the teachers gain a sense efficacy in this critical but underutilized area of math instruction.

Developing schedules is one of the most challenging undertakings that school and district leaders do every year. It's also one of the most important. School schedules often have significant inefficiencies that impact student experiences and outcomes, like course offerings that don't align with student needs; mismatches in resources across schools;…

Foundation and Year 1/2 teachers at Saint Martin de Porres Primary School, a Catholic School in Laverton, Melbourne have been collaborating with a team of researchers from Monash University on a four-year project led by Professor Peter Sullivan and colleagues. The teachers have been trialling and implementing a series of lesson sequences as part…

This article discusses how mathematics didactics can be inspired by and further developed through responsive pedagogy, understood as feedback directed at self-regulation and self-efficacy, in mathematics teaching. The authors explain the rationale behind an intervention model for improving mathematics teachers' feedback practices. The model is a…

In this article, we describe the experiences of two preservice teachers (PSTs) who served as teaching assistants (TAs) in a secondary mathematics teaching methods course. As TAs, the PSTs approximated practice by being independently responsible for a learning environment and leading discussions with groups of students. Although the PSTs felt…

This paper focusses on how researching is done through reflections about, or at a meta-level to, the practice over time of an enactivist mathematics education researcher. How are the key concepts of enactivist theory ("ZDM Mathematics Education," doi: 10.1007/s11858-014-0634-7, 2015) applied? This paper begins by giving an…

For school districts in California, just as one set of revolutionary new content standards is beginning to feel familiar, another deep change is brewing. Districts have now had more than five years to wrestle with how they implement the Common Core State Standards for Mathematics (CCSS-M) (NGA Center & CCSSO, 2010). Many have made large-scale…

This article describes a type of professional development focused on students' thinking that occurs in middle school mathematics classrooms. This type of professional development is called "Classroom Embedded" and occurs over one or two days in a classroom with middle school students and their teacher. Teachers actively participate in…

This article presents a theoretical model of lesson study's impact on instruction, through intervening impact on teachers' knowledge, beliefs and dispositions, teachers' learning community, and curriculum. It also describes four different types of lesson study in Japan, pointing out their synergies in producing a system where local teachers…

This article introduces the formative assessment probe--a powerful tool for collecting focused, actionable information about student thinking and potential misconceptions--along with a process for targeting instruction in response to probe results. Drawing on research about common student mathematical misconceptions as well as the former work of…

Teachers' mathematical content knowledge has been under scrutiny for some time. This development is in the wake of learners' unsatisfactory performance in national examinations and international achievement tests. A widely held belief is that one, if not the most important, of the efforts to improve and enhance the performance and…

We describe the process and outcomes of a project aimed at bringing together a set of diverse experts to generate a set of design recommendations for what should be considered when creating, sustaining, and assessing professional development systems to support the Common Core State Standards in mathematics. Although the recommendations were…

With international exams (PISA and TIMSS) producing results every three or four years, there is near continual talk of East Asian dominance in mathematics education. Beyond the reporting of scores, some studies have compared mathematics teaching in these countries with U.S. instruction. However, researchers are not (usually) grade school math…