Supporting young students in developing meanings for the set-theoretic function definition is emphasized in 6th-12th grade curricula around the world. In prior work, we have highlighted how covariational reasoning supports college students in constructing relationships that afford considering mathematical properties important for a set-theoretic…

Abstraction is one of the most fundamental ideas in computer science (CS), and as such, according to Bruner, it should be taught spirally, starting as early as possible and revisited at every level of education. However, teaching CS abstraction to novices is a very challenging task, and CS educational research has often demonstrated students'…

With the continuous development of education, personalized learning has attracted great attention. How to evaluate students' learning effects has become increasingly important. In information technology courses, the traditional academic evaluation focuses on the student's learning outcomes, such as "scores" or "right/wrong,"…

This dissertation targets young students' developing knowledge relevant to a fundamental practice in academic mathematics: the use of diagrams to represent idealized mathematical objects whose properties are established by definition (as in the use of drawn dots to represent zero-dimensional points and drawn lines to represent one-dimensional…

Currently (and historically) there exists a significant gender gap within the STEM fields in our schools, tertiary institutions, and workforce. The disproportion of gender representation in the workforce filters down to the classroom level, where teachers see a lack of confidence and engagement in their female students resulting in poor results or…

This paper reports results from a case study focused on understanding student practices regarding production-oriented problem-solving with digital media. Thirty-seven students participated in an elective curriculum called, "Techno Savvy," a nine-week course focused on student exploration of global issues, and designed around Web 2.0…

This chapter examines the various cognitive tools embedded in a multimedia-enriched PBL environment for middle school science known as "Alien Rescue" and shares the research findings of the use of these cognitive tools in assisting young learners' problem solving. The goal of this chapter is to illustrate strategies for designing…

This study examined how literal symbols affect students' understanding of algebraic expressions. Middle school students (N = 322) were randomly assigned to 1 of 3 conditions in which they were asked to interpret an expression (e.g., 4c + 3b) in a story problem. Each literal symbol represented the price of an item. In the c-and-b condition, the…

This study investigated the comprehension and effectiveness of teaching formal, probabilistic decision-making skills to middle school students. Two specific objectives were to determine (1) if middle school students can comprehend a probabilistic decision-making approach, and (2) if exposure to the modeling approaches improves middle school…

Investigated problem-solving methods used by 3 sixth-graders working on a variety of mathematics problems over the school year. Found that the students used different strategies: one used visual strategies, one a more verbal approach, and the third a combination of the two. Over time, all three moved toward more nonvisual, verbal/analytic forms of…

Researchers from BBN Laboratories and Lesley College (Massachusetts) have begun exploratory studies to build an understanding of the learning that occurs when middle school students interact with science-based simulations. Sixty hours of discussion among eight middle school students were videotaped as they used the simulations from the…

Describes three perspectives from which middle school teachers can plan laboratory activities for the purpose of improving students' scientific literacy. Perspectives are the learning cycle approach categorizing activities by stages of development; problem-solving skills approach categorizing activities according to the amount of teacher control;…

Recent research suggests that many middle school students approach mathematical story problems with strategies that are not based on possible meanings for the operations, yielding success for one-step problems, but providing a weak background for approaching algebra story problems. This document reports the findings and the materials developed by…