This paper presents guided classroom activities that showcase two classic problems in which a finite limit exists and where there is a certain charm to engage liberal arts majors. The two scenarios build solely on students' existing knowledge of number systems and harness potential misconceptions about limits and infinity to guide their thinking.…

Background: Bereavement is potentially a time of disruption and emotional distress. For individuals with an intellectual disability (ID), a limited understanding of the concept of death may exacerbate this distress. The aim of the present study was to investigate how individuals with ID understand and explain death and make sense of life without…

A survey of the Earth science content of science textbooks found a wide range of misconceptions. These are discussed in this article with reference to the published literature on Earth science misconceptions. Most misconceptions occurred in the "sedimentary rocks and processes" and "Earth's structure and plate tectonics"…

This paper provides information about noncredit instruction in the California Community Colleges and updates the 2009 paper "Noncredit Instruction: Opportunity and Challenge" to incorporate subsequent changes from the last decade. Since the passage of SB 361 (Scott, 2006), noncredit instruction has seen significant changes, including the…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…

A national sample of PhD-trained scientists completed training, accepted subsequent employment in academic and nonacademic positions, and were queried about their previous graduate training and current employment. Respondents indicated factors contributing to their employment decision (e.g., working conditions, salary, job security). The data…

Mind mapping was introduced as a culturally relevant pedagogy aimed at enhancing the teaching and learning experience in a general education, Environmental Science class for mostly Emirati English Language Learners (ELL). Anecdotal evidence suggests that the students are very artistic and visual and enjoy group-based activities. It was decided to…

This essay attempts to conduct an explanatory research on MIS within the framework of mental space theory to demonstrate the cognitive operating process of MIS in people's social interaction and explore the deep causes lying behind the phenomenon. By text analysis, the author elaborates on the generating process of MIS, thus tracing cognitive…

The evaluation of variation in the oscillation time period of a simple pendulum as its mass varies proves a rich source of discussion in a physics classroom, overcoming erroneous notions carried forward by students as to what constitutes the pendulum's length, by picking up only the results of approximations and ignoring the rigorous definition.…

We (Hahn & Warren, 2009) recently proposed a new account of the systematic errors and biases that appear to be present in people's perception of randomly generated events. In a comment on that article, Sun, Tweney, and Wang (2010) critiqued our treatment of the gambler's fallacy. We had argued that this fallacy was less gross an error than it…

Concept inventories hold tremendous promise for promoting the rigorous evaluation of teaching methods that might remedy common student misconceptions and promote deep learning. The measurements from concept inventories can be trusted only if the concept inventories are evaluated both by expert feedback and statistical scrutiny (psychometric…

Discovery-based learning designs incorporating active exploration are common within instructional software. However, researchers have highlighted empirical evidence showing that "pure" discovery learning is of limited value and strategies which reduce complexity and provide guidance to learners are important if potential learning…

Interest in student conception of experimentation inspired the development of a fully validated 14-question inventory on experimental design in biology (BEDCI) by following established best practices in concept inventory (CI) design. This CI can be used to diagnose specific examples of non-expert-like thinking in students and to evaluate the…

In this article, Kathryn Roberts & Kristy Brugar discuss their assessment of third-, fourth- and fifth-grade children's understandings of the types of maps commonly found in their social studies text and trade books, and the knowledge and misconceptions it revealed. They then discuss how teachers might begin to address those issues with…

Reflecting simply put is the act of thinking about something while seeking a deeper level of understanding. Reflective practice is applying this thinking systematically by making questions, collecting data, and analysing it in order, not to prove something, but to comprehend and act upon reality. It is also an ongoing process that involves…