There is little discussion in the Design-Based Research (DBR) literature on how to design an intervention that has the potential to be highly effective. The act of designing is usually viewed as engineering something from theory or research on best practices. This paper challenges that universal belief and presents successful design as an…

In this paper we combine a logistic regression student model with an exercise selection procedure. As opposed to the body of prior work on strategies for selecting practice opportunities, we are working on an assumption of a finite amount of opportunities to teach the student. Our goal is to prescribe activities that would maximize the amount…

We interviewed 40 students in Grade 7 to investigate their integer reasoning. In one task, children were asked to write and interpret equations related to a story problem about borrowing money from a friend. Their responses reflect different perspectives concerning the relationship between this real-world situation and various numerical…

The purpose of this report is to summarize the activities of the standard-setting meeting for the New York State Alternate Assessment (NYSAA) in English Language Arts (ELA) and mathematics (Grades 3-8 and High School), science (Grades 4, 8, and High School), and social studies (High School). The NYSAA standard-setting meeting was held on June 11…

Students explored variation and expectation in a probability activity at the end of the first year of a 3-year longitudinal study across grades 4-6. The activity involved experiments in tossing coins both manually and with simulation using the graphing software, "TinkerPlots." Initial responses indicated that the students were aware of…

This study was designed for two major goals, which are to describe students' mental models about atom concept from 6th to 8th grade and to compare students' mental models with visual representations of atom in textbooks. Qualitative and quantitative data were collected with 4 open-ended questions including drawings which were quantified using the…

This study investigates how 217 students in Years 5, 6 and 7 from three schools in Nanjing, China, link number and algebra (called relational thinking in this study). It categorizes their performances in terms of five levels, and uses these levels to create profiles of algebraic thinking across Years 5, 6, and 7. The study examines the…

Gap thinking has been categorised as one of several whole number strategies that interfere with early fraction understanding. This study showed that this claim is not supported by interview data of Grade 6 students' gap thinking explanations during a fraction pair comparison task. A correlation with equivalence performance was uncovered, leading…

"Make It Count" was a large scale, government-funded, project aimed at improving the mathematics learning of Indigenous students. NAPLAN Numeracy test results were used as one measure of the effect of the program. In this paper we report on the performance on these tests of Indigenous students in schools involved in the project. Group…

This study aims to examine the effect of instructional materials developed on the basis of 4 stage constructivist model on the success of 6th grade students in the subject of decimal fractions. For this purpose, a worksheet on decimal fractions, a conceptual change text and an anology map were developed. These instructional materials were…

In this paper, (a) we present a framework for developing a science content (i.e., science concepts, scientific methods, scientific mindset, and problem-solving strategies for socio-scientific issues) used to design the new Cypriot science curriculum aiming at ensuring a democratic and human society, (b) we use the previous framework to explore the…

This study investigates the effect on conceptual change of instructional materials about "decimal fractions" developed by adopting 4 stage constructivist learning model. The study was conducted with 30 students 6th grade at a public elementary school in Trabzon during the spring term of 2008-2009 school year. Case study method was used…

This paper reports on a study designed to examine the dialogic processes teachers used to sustain focused discussions, using questioning techniques and Interactive Whiteboards (IWBs). IWBs and their related technologies such as plasma touch screens and projected tablets have passed through several phases of implementation as classroom objects,…

This paper was delivered as a response to a presentation by Jan Kronberg MLC, Chair of the Education and Training Committee, Parliament of Victoria that published a report of the "Inquiry into the Extent, Benefits and Potential of Music Education in Victorian Schools." Her presentation and this response were part of a forum conducted by…

An interview with a sixth-grade student illustrates how her number sense and understanding of variability relate to her ability and proclivity to apply a frequentist (statistical) approach to probability tasks. A general suggestion for teaching about mathematics of uncertainty through the gradual strengthening of estimation, as per the historical…