For fans of the bestselling book "The Formative 5: Everyday Assessment Techniques for Every Math Classroom" comes this updated and expanded edition for understanding and implementing highly effective, research-backed formative assessment techniques into seamless, daily practice with students in grades K-12. "The Formative 5 in…

Determining what students know and understand, as well as what misconceptions they have, is essential to planning and providing targeted intervention and support. In this article, a teacher uses formative assessment interviews to uncover evidence of students' understandings and to plan targeted instruction in a mathematics intervention class. The…

A growing body of mathematics education research points to the importance of fostering students' mathematical creativity in undergraduate mathematics courses. However, there are not many research-based instructional practices that aim to accomplish this task. Our research group has been working to address this issue and created a formative…

The purpose of this study was to understand the use of interim assessment data to inform mathematics instruction. A qualitative case study methodology was used to analyze the use of interim assessment data in a suburban elementary school. Data sources included interviews with three teachers at varying levels of their profession and the principal;…

Formative assessment involves the gathering of information that can guide the teaching of individual or groups of children. This approach requires a sound understanding of children's thinking and learning, as well as an effective method for gaining the information. We propose that formative assessment should employ a version of clinical…

Early math has been shown to predict not only longer-term math achievement, but also future reading achievement, high school completion, and college attendance. Yet effects from early math programs often fade out as children move into more varied instructional contexts in elementary school. This fade-out suggests the need for an alignment of math…

In this mixed methods study, the researchers developed a video-based measure called a "Prediction Assessment" to determine preservice elementary teachers' abilities to predict students' scientific reasoning. The instrument is based on teachers' need to develop pedagogical content knowledge for teaching science. Developing a knowledge…

Background: This paper reports on the use of classroom assessment techniques (CATs) by primary school mathematics teachers in China. CATs are short, focused assessment activities that can reveal students' understanding of specific mathematical subjects. The study involved six female third-grade mathematics teachers from Nanjing, China. The focus…

Mathematical reasoning involves comprehending mathematical information and concepts in a logical way and forming conclusions and generalizations based on this comprehension. Computer-based learning has been incorporated into classrooms across the country, and specific aspects of technology need to be studied to determine how programs are…

Students' development of conceptual understandings is a central goal of mathematics education (CCSS-Mathematics, 2010). Such a challenging, yet ambiguous, goal cannot be achieved without empowering teachers with the knowledge and tools critical for their ability to adequately convey the content, and assess and interpret students' performance. This…

There is a plethora of research pertaining to Response to Intervention (RTI) implementation at the elementary school setting. However, research studies on teachers' perceptions relative to implementing RTI in a middle school tier-based classroom had not been conducted. The purpose of this qualitative case study was to examine teachers' perception…

In this article Jessica Hunt explores the use of clinical interviews to gain a deep understanding of students' knowledge. Examples of clinical interviews are provided and advice for planning, giving and interpreting the results of interviews is also included.

The purpose of this qualitative descriptive case study was to understand how online undergraduate math instructors perceive student learning in the online learning environment. With significantly higher attrition rates in online math courses, researchers should seek to identify instructional elements that could potentially lead to increased…

Powerful Learning Conversations (PLC) sought to improve the feedback that teachers give to pupils in Year 9, by training them to apply techniques used in sports coaching. It is based on the idea that feedback in sports coaching is often provided immediately after a task is performed, and delivered in a way that children are more likely to respond…

Recent research and reform documents in mathematics and science education have highlighted the importance of preservice teacher education that focuses on understanding students' reasoning and modifying instruction accordingly. Utilizing the constructs of core practices and the professional noticing as lenses with which to examine the…