A web-based two-tier test (WTTT-NS) which combined the advantages of traditional written tests and interviews in assessing number sense was developed and applied to assess students' answers and reasons for the questions. In addition, students' major misconceptions can be detected. A total of 1,248 sixth graders in Taiwan were selected to…

This is an experimental study, made used of the non-randomized experimental and control groups, pretest-posttest designs. The experimental and control groups were two separate intact classes in Algebra. For a period of twelve sessions, the experimental group was subjected to the scientific heuristic method, but the control group instead was given…

Clinical reasoning is a central skill in diagnosing cases. However, diagnosing a clinical case poses several challenges that are inherent to solving multifaceted ill-structured problems. In particular, when solving such problems, the complexity stems from the existence of multiple paths to arriving at the correct solution (Lajoie, 2003). Moreover,…

Collaborative problem solving, when students work in pairs or small groups on a curriculum-related task, has become an increasingly common feature of classroom education. This paper reports a study of a topic which has received relatively little attention: how teachers can most usefully intervene when students are working in a group, but have…

Conflicting research results have stirred controversy over the effectiveness of problem-based learning (PBL) compared to direct instruction at fostering content learning, particularly for novices. We addressed this by investigating effectiveness with respect to recognition learning and transfer and conducting an aptitude-treatment interaction…

Two well-accepted ideas among educators are (a) performance assessment is an effective means of assessing higher-order thinking skills and (b) data-driven instruction planning is a valuable tool for optimizing student learning. This article describes a locally developed performance task (LDPT) designed to measure critical thinking, problem…

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

Previous research has shown that interest in and concern about environmental issues tends to decrease in adolescence, but less is known about adolescents' broader consciousness of sustainable development, also including economic and social issues. This study investigates students' sustainability consciousness in the transition to adolescence. This…

This study used an online-structured interview methodology to examine the impact of an intensive field experience in facilitating problem (PBL) and project-based learning (PjBL) on teachers' pedagogy. The purpose of the study was to determine to what extent the field experience had transformed their teaching. Data were collected in the form of…

Mathematical creativity is rooted in the intellectual abilities and personality traits of each individual, in which the direct influence of education is only moderate. However, education could have more influence on three important components of creativity: expertise, original thinking, and intrinsic motivation, which underlie individual creative…

The current tendency to integrate Information and Communication Technology (ICT) into teaching challenges teachers to both develop and convey Technological Pedagogical Knowledge (TPK). This study examines the extent to which science teachers who have integrated ICT into their practice really demonstrate awareness of the aspects of meaningful…

Ratio and proportional relationships are of primary importance during the upper elementary and middle school grades (Kilpatrick, Swafford, & Findell, 2001; National Council of Teachers of Mathematics, 1989, 2000; National Mathematics Advisory Panel [NMAP], 2008). These relationships, along with the interrelated topics of fractions, decimals,…

Students of all ages spend a good amount of their time in classrooms engaged in some type of academic work (e.g. worksheets, workbooks, scientific projects, essays, research papers). On average, students from elementary through high school spend approximately one-half of their classroom time working by themselves ("seatwork") or in…

We are frequently told that Hong Kong has a model system for learning mathematics. In this article Daniela Vasile notes one short-coming in that the pupils are not taught to problem-solve. She begins with a new class by asking them to write down the craziest equation they can come up with and bases her whole lesson, and the following homework,…

Rhetorical theorists have argued that agency is a communal experience, but material conditions in jail "and" society often prevent prisoners and college students from experiencing it in meaningful ways that embrace difference. Challenging those conditions by bringing both groups together in a writing workshop enables everyone to resist…