Fuzzy logic, which is based on fuzzy sets theory introduced by Zadeh in 1965, provides a rich and meaningful addition to standard logic. The applications which may be generated from or adapted to fuzzy logic are wide-ranging and provide the opportunity for modeling under conditions which are imprecisely defined. In this article we develop a fuzzy…

We live our lives in three-dimensional space and encounter geometrical problems (equipment instructions, maps, etc.) every day. Yet there are not sufficient opportunities for high school students to learn geometry. New teaching methods can help remedy this. Specifically our experience indicates that there is great promise for use of geometry…

The focus of the present study is on the developmental antecedents of domain-general experimentation skills. We hypothesized that false-belief understanding would predict the ability to distinguish a conclusive from an inconclusive experiment. We conducted a longitudinal study with two assessment points (t1 and t2) to investigate this hypothesis.…

The purpose of this study is to examine the proportional reasoning of pre-service teachers at the beginning of their teacher preparation program using the developmental shifts described by Lobato and Ellis (2010). They cast changes in proportional reasoning as transitions or "shifts" in students' thinking and these shifts can serve as…

Using the symbolic interactionist perspective that meaning is constituted as individuals interact with one another, this study examined how group thinking during cooperative inquiry-based activity on chemical bonding theories shaped and influenced college students' understanding of the properties of ionic compounds in solution. The analysis…

Current research and professional organizations call for greater emphasis on reasoning and sense making in algebra (Chazan, 2000; Cuoco, Goldenberg, & Mark, 1996; Harel & Sowder, 2005; National Council of Teachers of Mathematics [NCTM], 2009, 2010). This paper illustrates how students in an Algebra II class had opportunities to develop…

Ingroup preferences when deciding who to include in 2 distinct intergroup contexts, gender and school affiliation, were investigated. Children and adolescents, in the 4th (9-10 years) and 8th (13-14 years) grades, chose between including someone in their group who shared their group norm (moral or conventional) or who shared their group membership…

This study was conducted with 98 prospective science teachers, who were composed of 50 prospective teachers that had participated in problem-solving applications and 48 prospective teachers who were taught within a more researcher-oriented teaching method in science laboratories. The first aim of this study was to determine the levels of…

We present an innovative course-based undergraduate research experience curriculum focused on the characterization of single point mutations in p53, a tumor suppressor gene that is mutated in more than 50% of human cancers. This course is required of all introductory biology students, so all biology majors engage in a research project as part of…

This paper presents a case study examining 3rd, 4th and 5th graders' design fixation and cooperative learning in an engineering design project. A mixed methods instrument, the Cooperative Learning Observation Protocol (CLOP), was adapted to record frequency and class observation on cooperative learning engagement through detailed field notes.…

This study examined the development of children's reasoning about the afterlife and its relationship with parental afterlife beliefs and testimony. A total of 123 children aged 5, 7, and 10 years were read a story describing the events that led to a person's death. After hearing the story, children were asked questions about the dead agent's…

"Time to Act," a 2009 report of the Carnegie Corporation's Council on Advancing Adolescent Literacy, concludes that U.S. students are ill-prepared for the literacy challenges of 21st century higher education, employment, and citizenship. Word Generation (WG) is a research-based vocabulary program for middle school students designed to…

"Classroom Discussions: Seeing Math Discourse in Action, Grades K-6" provides preservice and inservice instructors, coaches and facilitators with real, classroom-based video examples that illustrate the principles and practices covered in the authors' best-selling book, "Classroom Discussions: Using Math Talk to Help Students Learn, Grade K-6,…

Students' moral reasoning was assessed at a religiously affiliated liberal arts university. Cohort data were collected from undergraduate students who had entered the university as freshmen: 364 students in 2007 and 264 students in 2009. The results indicated that there was a significant increase in students' post-conventional moral reasoning…

If numerical reasoning items are administered under time limits, will two dimensions be required to account for the responses, a numerical ability dimension and a speed dimension? A total of 182 college students answered 74 numerical reasoning items. Every item was taken with and without time limits by half the students. Three psychometric models…