The purpose of the study is to evaluate how prospective mathematics teachers (PMTs) modify tasks to facilitate students' learning of pattern generalization through the use of their mathematical knowledge for teaching. Case study, which is a type of qualitative research method, was used to determine the mathematical characteristics that PMTs use…

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

As teachers are increasingly asked to respond to assessment and evaluation demands in their schools, the aim of this article is to provide suggestions and scales for singing accuracy. A description of each step in the assessment design process is provided, along with specific suggestions for a singing development scale and a singing accuracy scale.

Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…

The goals of problem-solving activities in the elementary grades often include making sense of story problems, developing a range of strategies, and reaching accurate solutions. These are important mathematical aims, but they do not fully address the demands of modeling with mathematics as described in the fourth of the Common Core's eight…

Supporting elementary student understandings of ideas related to Earth's Place in the Universe (ESS1) can be challenging, especially given the large time and distance scales involved with many of the concepts. However, with effective use of crosscutting concepts and science and engineering practices, important concepts within this content domain…

The Encouraging Persistence Maintaining Challenge (EMPC) Project has been working with secondary teachers in Melbourne as they seek to build persistence in students, during work on challenging mathematics tasks. The authors have developed sequences of tasks in various topic areas for Years 7 and 8, which require students to connect different…

By providing sustained, embedded professional development over the course of a school year--as well as involving teachers in creating high-quality assessment tasks, implementing the assessments with students, and tying assessment directly to instruction--the authors increased the value that their teaching community places on mathematical…

We investigated how 2 different curricular scaffolds (context-specific vs. generic), teacher instructional practices, and the interaction between these 2 types of support influenced students' learning of science content and their ability to write scientific arguments to explain phenomena. The context-specific scaffolds provided students with hints…

This article describes experiences from a professional development project designed to prepare in-service eighth-grade mathematics teachers to develop, explore, and advance technological pedagogical content knowledge (TPCK) in the teaching and learning of Algebra I. This article describes the process of the participating teachers' mathematical…

Purpose: To evaluate the learning effects of a deductive language-teaching procedure when teaching a novel gender agreement verb inflection to children with language impairment. Method: Thirty-two 6-8-year-old children with language impairment were randomly assigned to either a deductive (N = 16) or an inductive (N = 16) treatment group. In the…

The results of the study reported in this article found that primary-aged students used context knowledge in three broad ways: (1) to rationalise the data or their interpretations; (2) in taking a critical stance toward the data; and (3) in ways that were not necessarily productive or pertinent in addressing the task at hand. When teaching…

Applied behavior analysis (ABA) has emerged as one of the most effective empirically based strategies for instructing individuals with autism spectrum disorders (ASD). Four ABA-based strategies that have been found effective are video modeling, visual strategies, social script fading, and task analysis. Individuals with ASD often struggle with…

One of the author's main goals as a teacher is to impart the skills necessary for students to be successful in science, and that means teaching them how to think and write like scientists. At times, though, it seemed as though the author had exhausted all avenues without ever reaching this goal. At the beginning of each year, she starts her…

Learning to write is a complex process that depends on mastering a variety of processes and skills, including how to plan compositions and regulate writing behavior. One approach that has been used successfully to teach both good and poor writers such processes is Self-Regulated Strategy Development (SRSD). With SRSD, students are taught…