Every word problem has a solution-The social rationality of mathematical modeling in schools

The focus of this paper is on sense-making and the use of real-world knowledge in mathematical modeling in schools. Arguments are put forward that classroom word problem solving is more—and also less—than the analysis of subject-matter structures. Students easily “solve” stereotyped, even unsolvable, problems without any regard to the constraints of factual reality. Mathematics learning in schools is inseparable not only from the materials employed, but from the macro- and microcultural web of practices within the social context of schooling. It represents, beyond the insightful activity of ideal problem solving, a type of socio-cognitive skill.The two experiments reported replicate and extend a study by Verschaffel, De Corte, and Lasure (1994). In the first experiment, a list of standard problems that could be solved by straightforward use of arithmetic operations, and a parallel list of problems which were problematic with respect to realistic mathematical modeling, were administered to fourth and fifth graders. In the second experiment, a similar list of problematic problems was presented to seventh graders under three socio-contextual conditions varying in the degree to which the pupils were told or signaled that the problems were more difficult to solve than it seemed at first or that they even could be unsolvable. The result of both studies was that most pupils “solved” a significant part of the unsolvable problems without evincing “realistic reactions”. This overall finding is discussed with respect to three issues:

• 1. 

  (i) the quality of word problems employed in mathematics education,

• 2. 

  (ii) the culture of teaching and learning, and

• 3. 

  (iii) the more general issue of social rationality in school mathematics problem solving.

     

Mad City Mystery: Developing Scientific Argumentation Skills with a Place-based Augmented Reality Game on Handheld Computers

While the knowledge economy has reshaped the world, schools lag behind in producing appropriate learning for this social change. Science education needs to prepare students for a future world in which multiple representations are the norm and adults are required to “think like scientists.” Location-based augmented reality games offer an opportunity to create a “post-progressive” pedagogy in which students are not only immersed in authentic scientific inquiry, but also required to perform in adult scientific discourses. This cross-case comparison as a component of a design-based research study investigates three cases (roughly 28 students total) where an Augmented Reality curriculum, Mad City Mystery, was used to support learning in environmental science. We investigate whether augmented reality games on handhelds can be used to engage students in scientific thinking (particularly argumentation), how game structures affect students’ thinking, the impact of role playing on learning, and the role of the physical environment in shaping learning. We argue that such games hold potential for engaging students in meaningful scientific argumentation. Through game play, players are required to develop narrative accounts of scientific phenomena, a process that requires them to develop and argue scientific explanations. We argue that specific game features scaffold this thinking process, creating supports for student thinking non-existent in most inquiry-based learning environments.     

Inflicted skeletal trauma: the relationship of perpetrators to their victims

OBJECTIVE: Although inflicted skeletal trauma is a very common presentation of child abuse, little is known about the perpetrators of inflicted skeletal injuries. Studies exist describing perpetrators of inflicted traumatic brain injury, but no study has examined characteristics of perpetrators of inflicted skeletal trauma. METHODS: All cases of suspected child physical abuse evaluated by the child abuse evaluation teams at Vanderbilt University Medical Center (January 1996 to August 2000) and at the Children's Hospital at Denver (January 1996 to December 1999) were reviewed for the presence of fractures. All children with inflicted fractures were entered into the study, and demographic data, investigative data, and identity of perpetrators were collected. RESULTS: There were a total of 630 fractures for 194 patients. The median number of fractures per patient was 2, and the maximum was 31. Sixty-three percent of children presented with at least one additional abusive injury other than the fracture(s). Perpetrators were identified in 79% of the cases. Nearly 68% of the perpetrators were male; 45% were the biological fathers. The median age of the children abused by males (4.5 months) significantly differed from the median age of those abused by females (10 months) (p=.003). CONCLUSION: In the cases where a perpetrator of inflicted fractures could be identified, the majority were men, most commonly the biological fathers. Children injured by men were younger than those injured by women.     

Recess, physical education, and elementary school student outcomes

Today's children experience a decreased amount of time at recess and fewer physical education (PE) classes throughout the school day. Breaks for physical activity limit class time for academics, potentially reducing learning. However, breaks may improve alertness and achievement. Using the Early Childhood Longitudinal Survey Kindergarten Class of 1998-1999, we evaluate how recess and PE in elementary school influence children's learning. We find no statistically significant or economically significant impacts of weekly recess or PE time on student learning for kindergarteners through fifth graders. For example, in kindergarten, adding an hour a week of recess reduces the average test score gain in reading by a statistically insignificant 0.01 standard deviations. An additional 49 min per week of PE in kindergarten improves reading test score gains by a statistically insignificant 0.05 standard deviations. We find no statistical difference in the male and female students’ response to recess and PE. Evidence suggests that recess and PE do not harm student outcomes.     

Adopting Cut Scores: Post-Standard-Setting Panel Considerations for Decision Makers

Standard-setting studies utilizing procedures such as the Bookmark or Angoff methods are just one component of the complete standard-setting process. Decision makers ultimately must determine what they believe to be the most appropriate standard or cut score to use, employing the input of the standard-setting panelists as one piece of information among multiple sources. However, guidance for weighing the various components is limited. The current article describes considerations about data that are used to make standard-setting decisions, as previously outlined by Geisinger (1991) . The ten points provided by Geisinger have been expanded as they relate to shifts in educational policy and practice in educational measurement. They have been amended with six new components as well. The new considerations addressed are smoothing across grades, raising standards in progression (over grades or over time), opportunity to learn or instructional validity, input from other groups, equating or linking to previous standards, and organizational vision and goals .     

Collaboration among teachers,researchers and in-service trainers to develop an integrated science curriculum

The German contribution to the OECD SMTE Project is based on an evaluation of the PING Project (Practising Integration in Science Education) where teachers, researchers and in-service trainers collaborate in the development of an integrated school science programme emphasizing the relationship between humanity and nature. Collaboration among teachers, administrators, a research institute and in-service activities allowed the development of materials whichreflect the students' relationship withnature, promote responsible action, andare sensitive tothe cultural aspects of the topic. There is acoordinating networkwhich gives teachers information and access to materials, and a coordinating center for organizational development, information exchange, collection of relevant literature, revision of existing materials and subsequent distribution. Workshops are heldfor teacher education andfor dissemination.     

The seductive details effect in technology‐delivered instruction

Seductive details are highly interesting information tangential to course objectives. The inclusion of seductive details generally harms performance on recall tests, but few studies have used multimedia training or investigated effects on performance on recognition tests or transfer tasks. We conducted two studies using computer‐based training, instructing college students to use either Excel or Word mail merge. Contrary to most prior results, we found no negative effect for seductive details on recognition tests, and we found a facilitative effect on transfer performance. We discuss implications for theories of learning and transfer, and practical implications for instructional design and delivery.