IS IT WORTH USING CAS FOR SYMBOLIC ALGEBRA MANIPULATION IN THE MIDDLE SECONDARY YEARS? SOME TEACHERS’ VIEWS

The use of Computer Algebra Systems (CAS) in years 9 and 10 classrooms as a tool to support learning or in preparation for senior secondary mathematics is controversial. This paper presents an analysis of the positive and negative aspects of using CAS identified in the literature related to these year levels, along with the perceptions of 12 experienced secondary teachers who were working with years 9 and 10 students. The literature review shows that CAS is valued for calculation and manipulation capabilities, the option of alternative representations, the opportunity for systematic exploration and for prompting rich discussion. However, the technical overhead, initial workload for the teacher and unresolved questions about the perceived relative contribution of machine and by-hand work to learning currently pose obstacles to teaching with CAS in the middle secondary years. The teachers who contributed data to this study perceived that using CAS in their teaching is, on balance, worth the effort. However, they believed that CAS is of most benefit to their high ability students and may present an obstacle to their low ability students’ learning of mathematics.     

Modes of reasoning in explanations in Australian eighth-grade mathematics textbooks

Understanding that mathematics is founded on reasoning and is not just a collection of rules to apply is an important message to convey to students. Here we examined the reasoning presented in seven topics in nine Australian eighth-grade textbooks. Focusing on explanatory text that introduced new mathematical rules or relationships, we classified explanations according to the mode of reasoning used. Seven modes were identified, making a classification scheme which both refined and extended previous schemes. Most textbooks provided explanations for most topics rather than presenting “rules without reasons” but the main purpose appeared to be rule derivation or justification in preparation for practise exercises, rather than using explanations as thinking tools. Textbooks generally did not distinguish between the legitimacies of deductive and other modes of reasoning.     

In-season changes in ventricular morphology and systolic function in adolescent female athletes

Purpose: To evaluate the influence of physical maturity on the changes in ventricular morphology and function with sport training in female youth athletes.

Methods: Thirty-two female athletes (age 13–18 years) underwent height and weight measurement and 2-D echocardiographic evaluation immediately prior to, and following, a 20-week soccer season. Pre- and post-season left ventricular end-diastolic diameter (LVEDD), end-diastolic volume (LVEDV), ejection fraction (LVEF), stroke volume (LVSV), mass (LVM), and posterior wall thickness (LVPWT), right ventricular end-diastolic diameter (RVEDD), end-diastolic area (RVEDA), and fractional area change (RVFAC), and interventricular septal thickness (IVST) were compared. In-season change in each variable was compared across pre-season hours of vigorous physical activity (0–1, 2–3, >3 hours).

Results: Significant increases were identified in LVEDV (51.3?±?10.4?v 56.4?±?9.6?ml/m², p?=?0.001) and RVEDA (10.5?±?1.9?v 11.3?±?2.5?cm²/m², p?=?0.040), but not LVEDD, LVM, LVPWT, LVSV, RVEDD, RVEDA, RVFAC, or IVST (p?>?0.05 for all). In-season changes in echocardiographic variables did not differ across hours of pre-season vigorous physical activity (p?>?0.05 for all).

Conclusion: Among female adolescent soccer players, in-season training elicits changes in resting ventricular volume, but not wall thickness or systolic function. These adaptations do not appear to be influenced by pre-season physical activity level.     

Teaching for blended learning––Research perspectives from on-campus and distance students

The concept of blended learning has begun to change the nature of all teaching and learning in higher education. Information and communication technologies have impacted by providing a means of access to digital resources and interactive communication for all courses and the blending of pedagogy and technology has produced a range of approaches to teaching and learning. This paper discusses the research literature and the writers’ research, defining what they have concluded are teaching practices that use the concept of blended learning effectively. In investigating how ICT can add variation for student learning, they analyze this from two dominant modes of pedagogy, learning environment and pedagogy through both on-campus and distance education. In both modes, students acknowledged the power and effectiveness of blended learning.     

The Nonreciprocating Robot: Effects on Verbal Discourse, Social Play, and Social Referencing at Two Years of Age

2-year-old children interacted with a robot in a large playroom while their mother sat quietly in the corner. Identical vocalizations from the robot had very different effects on 3 dimensions of the children's behavior when the vocalizations were embedded in reciprocating and nonreciprocating social structures. The reciprocating robot produced (1) more topic-maintaining verbal dialogue, (2) less physical and more linguistically mediated social play, and (3) gender-specific effects on the children's tendency to visually reference their mother during the play session. The data are discussed with reference to the frequently encountered assumption that reciprocal social structures have an impact on children's behavior when the quantity and other qualitative dimensions of social stimulation are held constant, and with reference to the children's attributions about the robot as a social partner.     

Intercultural competence and student engagement of U.S. community college Students: a mixed method study

In a culturally diverse society, United States community colleges are ideally positioned to develop intercultural competence in students. This mixed method study focused on the relationship between student engagement, as measured by the Community College Survey of Student Engagement (CCSSE) (2005), and intercultural competence, as assessed by the Intercultural Development Inventory (IDI) (Bennett & Hammer, 1998). Student scores from the IDI were correlated with five benchmark measures of the CCSSE. Four of the five CCSSE benchmarks were significantly correlated with IDI scores. Then, students scoring in the highest and lowest quartiles on the IDI participated in focus groups to explore their perceptions of intercultural competence. Analysis revealed implications for community college leaders that include the value of using instruments like the CSSE and IDI to assess students’ intercultural competence. Practical implications also included the importance of collaborative classroom activities and exposure to racially and ethnically diverse faculty and students, as well as college-sponsored community service, cultural events, and study-abroad opportunities     

Optical versus virtual: teaching assistant perceptions of the use of virtual microscopy in an undergraduate human anatomy course

Many studies that evaluate the introduction of technology in the classroom focus on student performance and student evaluations. This study focuses on instructor evaluation of the introduction of virtual microscopy into an undergraduate anatomy class. Semi-structured interviews were conducted with graduate teaching assistants (TA) and analyzed through qualitative methods. This analysis showed that the teaching assistants found the virtual microscope to be an advantageous change in the classroom. They cite the ease of use of the virtual microscope, access to histology outside of designated laboratory time, and increasing student collaboration in class as the primary advantages. The teaching assistants also discuss principal areas where the use of the virtual microscope can be improved from a pedagogical standpoint, including requiring students to spend more time working on histology in class.