Research has demonstrated that providing labels helps children notice key features of examples. Much less is known about how different labels impact children's ability to make inferences about the structure underlying mathematical notation. We tested the impact of labeling decimals such as 0.34 using formal place-value labels ("3 tenths and 4…

Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally explaining how…

Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics (STEM) domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally…

After completing a science unit on transfer of energy, including how chemical energy from a battery is converted to electrical energy; electrical circuits; and transformation of energy into sound, light, or heat; the students in Mrs. Finlay's fourth-grade science class were challenged to use what they learned to solve a problem. The students…

Incorporating scientific fundamentals via engineering through a design-based methodology has proven to be highly effective for STEM education. Engineering design can be instantiated for learning as they involve mental and physical stimulation and develop practical skills especially in solving problems. Lego bricks, as a set of toys based on design…

Designing opportunities for students to discover core science concepts can be challenging, however, with a good understanding of their interests, proper planning, and the use of technology and the outdoors, students can become engaged in a way that can leave a legacy for future students. Last fall, this author designed a nine-session unit for a…

Imagine two fourth-grade classes. Both contain students of comparable demographics and highly respected teachers each with four to five years of experience. Both classes engage in science curricula that emphasize science and engineering practices as outlined in the "Next Generation Science Standards" (NGSS Lead States 2013). Both classes…

Introduction: A way to find out how scientific thinking in children develops is to focus on the processes that are involved. As such, scientific thinking can be seen as a particular form of problem solving in which the problem solver selects a strategy from the space of possible experiments that can reveal the cause of an event. Notwithstanding…

The involvement of working memory (WM) was examined in two types of mental calculation tasks: exact and approximate. Specifically, children attending Grades 3 and 4 of primary school were involved in three experiments that examined the role of verbal and visuospatial WM in solving addition problems presented in vertical or horizontal format. For…

This study addressed the problem of why students with learning disabilities in mathematics too often fail to develop multiplicative and divisional concepts/operations. We conducted a constructivist teaching experiment with 12 students (nine 5th and three 4th graders). This report focuses on three students' conceptual progress, particularly on…

This paper proposes a learning based method that can automatically determine how likely a student is to give a correct answer to a problem in an intelligent tutoring system. Only log files that record students' actions with the system are used to train the model, therefore the modeling process doesn't require expert knowledge for identifying…