To Each Their Own: Students Asking Questions Through Individualized Projects

Abstract

As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own questions and to begin to develop the basic research skills needed to answer these questions. These projects, where each student is given an individualized object to study, allow students to take ownership over their own learning while introducing them to the joy and challenge of discovery and research. Each student is directed to use the concepts and techniques presented in class as a set of tools to guide the investigation of their object. We discuss our experiences–both positive and negative–with these inquiry-based projects.     

The sexually abused child: a comparison of male and female victims

Although the amount of research dealing with child sexual abuse is rapidly increasing, there have been very few attempts to identify and compare variables that characterize differences between female and male victims. To address this void, 25 substantiated cases of sexual abuse involving male children were compared with 180 substantiated cases of sexual abuse of female children. Significant differences between female and male victims were observed in the following areas: family composition, the perpetrator of the abuse, variables contributing to the continuation of the abusive situation, and the type of services provided to the sexually abused child and family. Implications for treatment are offered.     

Exploring the derivative suffix frequency effect in Spanish speaking children

This study was designed to examine the developmental course of the suffix frequency effect and its role in the development of automatic morpho-lexical access. In Spanish, a highly transparent language from an orthographic point of view, this effect has been shown to be facilitative in adults, but the evidence with children is still inconclusive. A total of 90 2nd, 4th and 6th grade children performed a go/no go lexical decision task, with words containing either high or low frequency suffixes. Results showed significant main effects for grade and for derivative suffix frequency, with no interaction between both. This finding suggests that the suffix frequency effect emerges very early in reading development and that its role is well established from the beginning of reading experience, suggesting that sensitivity to suffix frequency can be a good predictor of a child’s ability to internalize orthographic regularities at an early stage. These findings are interpreted in the light of previous evidence paying special attention to orthographic transparency and morpheme regularity in Spanish language.     

Contrast and value: Beyond the work ethic effect. A reply to Zentall (2008)

Zentall (2008) challenges Arantes and Grace’s (2008) failure to replicate Clement, Feltus, Kaiser, and Zentall (2000) by suggesting that our results may have been due to insufficient training or to subjects’ experimental histories, and that our results are actually consistent with those of Clement et al. when examined closely. On the contrary, our pigeons received more training than Clement et al.’s did, and when an overall measure of preference on test trials was calculated, independent of the effect of initiating event that we reported, there was no evidence of preference for the stimulus preceded by the greater response requirement in our data. Although there have now been two unsuccessful attempts to replicate Clement et al.’s work ethic effect, there is evidence that in some situations, the value of a stimulus, as assessed by transfer tests, varies inversely with the context of reinforcement. It is important to look for convergent results using other procedures and transfer tests, such as resistance to change, to identify the principles that determine when contrast manipulations affect value and when they do not.     

Effects of roller massager on muscle recovery after exercise-induced muscle damage

Two experiments (n = 10) were conducted to determine the effects of roller massager (RM) on ankle plantar flexor muscle recovery after exercise-induced muscle damage (EIMD). Experiment 1 examined both functional [i.e., ankle plantar flexion maximal isometric contraction and submaximal (30%) sustained force; ankle dorsiflexion maximal range of motion and resistance to stretch; and medial gastrocnemius pain pressure threshold] and morphological [cross-sectional area, thickness, fascicle length, and fascicle angle] variables, before and immediately, 1, 24, 48, and 72 h after an EIMD stimulus. Experiment 2 examined medial gastrocnemius deoxyhaemoglobin concentration kinetics before and 48 h after EIMD. Participants performed both experiments twice: with (RM) and without (no-roller massager; NRM) the application of a RM (6 × 45 s; 20-s rest between sets). RM intervention did not alter the functional impairment after EIMD, as well as the medial gastrocnemius morphology and oxygenation kinetics (P > 0.05). Although, an acute increase of ipsilateral (RM = + 19%, NRM = ?5%, P = 0.032) and a strong tendency for contralateral (P = 0.095) medial gastrocnemius pain pressure threshold were observed. The present results suggest that a RM has no effect on plantar flexors performance, morphology, and oxygenation recovery after EIMD, except for muscle pain pressure threshold (i.e., a soreness).     

Direct and vicarous effects of social praise on mentally retarded preschool children's attentive behavior

The purpose of this study was to examine the effects of social praise on the attentive behavior of reinforced and nonreinforced children. Two pairs of mentally retarded preschool boys served as subjects. Employing a reversal design, one child from each pair was differentially reinforced for attending to manipulative toys. The results revealed that: (a) The intervention procedure increased the attentive behavior of the target subjects. (b) Nonreinforced subjects also increased their attentive behavior during both reinforcement conditions. (c) This “spillover” of reinforcement effect was transient, as the non- target subjects level of attentive behavior decelerated during the final half of each 20-day rekforcement period.     

Perceptions that may affect teachers’ intention to use technology in secondary mathematics classes

Technology is available and accessible in many mathematics classrooms. Adopting technology to support teaching and learning requires teachers to change their teaching practices. This paper reports the responses of a diverse cohort of 92 secondary mathematics teachers who chose to respond to an Australian state-wide survey (Mathematics with Technology Perceptions Survey) developed using a Theory of Planned Behaviour framework. The items discussed in this paper targeted mathematics teachers’ perceptions of possible barriers and enablers to their intention to use technology in their teaching. The responses are varied but, overall, strength of agreement with enablers outweighed agreement with perceived barriers. However, it is clear that despite an overall positive attitude towards the use of technology for teaching mathematics, some perceived barriers to change are notable. It is, therefore, helpful if those responsible for professional development, promoting the use of technology, recognise and address these barriers as well as working to strengthening enablers.     

Multicriteria analysis: Managing complexity in selecting a student-information system

Seattle University recently decided to replace three separate, computerized student-information systems with a single, integrated system. The complexity of this decision was managed with a multicriteria method which was used to evaluate alternative systems. The method took into account the many and sometimes conflicting concerns of the people who would use whatever system was finally selected. Multicriteria analysis not only provided a way of managing a large amount of information, but apparently reduced people's resistance to change. The method is simple in structure and can be adapted to different kinds of decisions and decision-making processes encountered by institutional researchers.Presented at the Twenty Eighth Annual Forum of the Association for Institutional Research, Phoenix, Ariz., May 1988.