This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…

Algodoo (http://www.algodoo.com) is a digital sandbox for physics 2D simulations. It allows students and teachers to easily create simulated "scenes" and explore physics through a user-friendly and visually attractive interface. In this paper, we present different ways in which students and teachers can use Algodoo to visualize and solve…

Students often struggle with solving mechanism problems in organic chemistry courses. They frequently focus on surface features, have difficulty attributing meaning to symbols, and do not recognize tasks that are different from the exact tasks practiced. To be more successful, students need to be able to extract salient features, map similarities…

Students' categorization of physics problems reflects their expertise in problem solving. We conducted a pseudolongitudinal study to investigate the development of students' categorization ability. Over 250 Chinese students from grade 10 to grade 12 were asked to categorize 20 problems of kinematics and mechanics into suitable categories based on…

This article reports analysis of students' written reflections as to what helps them learn in an active learning environment. Eight hundred and twenty seven responses from 403 students in four different studio courses over two years were analyzed. An emergent coding scheme identified 55% of the responses as associated with cognitive processes…

Elementary students at the Milton Hershey School in Hershey, Pennsylvania, don't just learn knowledge and skills; they put it to work. The school's Innovation Lab for grades K-4 offers students hands-on opportunities to use design thinking to solve problems. In this article, two of the school's educators describe how 2nd graders used design…

This study explored the relation between second-language (L2) readers' memory for causal relations and their learning outcomes from expository text. Japanese students of English as a foreign language (EFL) with high and low L2 reading proficiency read an expository text. They completed a causal question and a problem-solving test as measures of…

Much of the focus on learning technologies has been on structuring innovative learning experiences and on managing distance and hybrid learning environments. This article focuses on the use of technology as an important formative assessment and feedback tool. The rationale for this focus is based on prior research findings that suggest that timely…

This study explores first-year university students' reasoning as they learn to draw Lewis structures. We also present a theoretical account of the formal procedure commonly taught for drawing these structures. Students' discussions during problem-solving activities were video recorded and detailed analyses of the discussions were made through the…

Teachers across the nation are taking up the call to prepare students for new standards and assessments that require written explanations on a variety of math tasks. But what does it really mean to "explain your answer," and how do educators begin supporting students to write in a genre that is new to both students and teachers? This…

Prior research suggests that introductory physics students have difficulty with graphing and interpreting graphs. Here, we discuss an investigation of student difficulties in translating between mathematical and graphical representations for a problem in electrostatics and the effect of increasing levels of scaffolding on students'…

This study examines the relation between teacher candidates' problem solving appraisal and utilization of motivated strategies for learning. The study has been carried out with 416 teacher candidates. A correlation has been used between problem solving appraisal and utilization of motivated strategies for learning. Besides, regression analysis has…

The Australian Learning and Teaching Council's Bachelor of Laws Learning and Teaching Academic Standards Statement identified "thinking skills" as one of the six threshold learning outcomes for a Bachelor of Laws Program, which reinforced the significance of learning, teaching and assessing "thinking skills" in law schools…

This study investigates young students' writing in connection to mathematical problem solving. Students' written communication has traditionally been used by mathematics teachers in the assessment of students' mathematical knowledge. This study rests on the notion that this writing represents a particular activity which requires a complex set of…

Introductory science courses serve a population of students in the major (i.e., chemistry) as well as those students outside the discipline (i.e., premed, biology, engineering). In an effort to help this diverse population of students connect personally with the content of the course, we sought ways to include student-centered activities, provide…