Reading from the Feet Up: The Local Work of Literacy

Children learn to read at approximately the same stage in life as they start to master their physical environment. This article argues that some of the same mapping and schema-building strategies inform each activity, and draws on examples from a broad range of children’s books to support the idea that reading fiction and mapping one’s local surroundings work in tandem among many young children. Fictional examples include Ramona the Brave, The Moffats, and The House at Pooh Corner. As children grow, and their understanding of their own world increases, their relationship with fiction may become more complex; this proposal is discussed in relation to the works of Carolyn Keene and Enid Blyton.     

Can Long John Silver Save the Humanities?

Given the serious decline in the number of undergraduates majoring in the humanities in general, and literature in particular, teachers of Children’s Literature have a unique opportunity to serve their discipline by tapping the power of classroom dialogue to introduce students to the practical reasoning central to humanistic study. This essay takes Long John Silver, from Robert Louis Stevenson’s Treasure Island (1883), as a model for generating lively discussion that begins with literary matters but leads, with help from the teacher, to fundamental questions about the role of the humanities in students’ education and in their lives. In the process, the essay traces a pedagogical strategy that moves from matters of plot and character, to issues of ethics and judgment, to larger questions regarding approximate knowledge and sound reasoning about the complexities of the human condition. This inquiry focuses specifically on the charming but villainous Silver and the possible explanations for his escape at the end of the novel. But the ambiguity and fascination of his character are also catalysts for wide-ranging classroom discussion of a kind that Children’s Literature routinely promotes and sustains. Such discussion can provide broad, balanced insight into the nature and variety of critical understanding. As such, Children’s Literature and the pedagogy it supports serves to identify and enliven the benefits of humanistic study at a crucial moment of academic history.     

Harry Potter: Agency or Addiction?

This article considers limitations on agency for characters in the Harry Potter novels, in particular, how far they are driven by an addictive yearning for their beloved dead. As well as Harry’s yearning for his dead parents, Dumbledore’s guilt, Snape’s longing and Slughorn’s craving can be read as evidence of addiction rather than love, while the Sorting ritual throws into doubt agency among the students in general.     

Dual Pathways to Expression and Understanding: Canadian Coming-of-Age Graphic Novels

In this article, the authors examine three Canadian coming-of-age stories, written as graphic novels, and pay particular attention to how the images and print text come together in the telling of the narrative. This approach reinforces the notion that form and content cannot be separated in this medium. Drawing on examples from each of the graphic novels and the interviews with the graphic novelists who wrote them, the article explores the complexity of the coming-of-age theme in each graphic novel, as well as how print text and image converge to make meaning.     

Finite element simulation of the ski–snow interaction of an alpine ski in a carved turn

Skiing manufacturers depend on the development of new skis on trial and error cycles and extensive product testing. Simulation tools, such as the finite element method, might be able to reduce the number of required testing cycles. However, computer programs simulating a ski in the situation of a turn so far lack realistic ski–snow interaction models. The aim of this study was to (a) implement a finite element simulation of a ski in a carved turn with an experimentally validated ski–snow interaction model, and (b) comparison of the simulation results with instantaneous turn radii determined for an actual carved turn. A quasi-static approach was chosen in which the ski–snow interaction was implemented as a boundary condition on the running surface of the ski. A stepwise linear function was used to characterise the snow pressure resisting the penetration of the ski. In a carved turn the rear section of the ski interacts with the groove that forms in the snow. Two effects were incorporated in the simulation to model this situation: (a) the plasticity of the snow deformation, (b) the influence of the ski’s side-cut on the formation and shape of this groove. The simulation results agreed well with experiments characterising snow penetration. Implementation of the groove in the ski–snow interaction model allowed calculation of the instantaneous turn radii measured in actual turns, but also caused significant numerical instability. The simulation contributes to the understanding of the mechanical aspects of the ski–snow interaction in carved turns and can be used to evaluate new ski designs.     

To see or not to see: analyzing difficulties in geometry from the perspective of visual perception

In this paper, we consider theories about processes of visual perception and perception-based knowledge representation (VPR) in order to explain difficulties encountered in figural processing in junior high school geometry tasks. In order to analyze such difficulties, we take advantage of the following perspectives of VPR: (1) Perceptual organization: Gestalt principles, (2) recognition: bottom-up and top-down processing; and (3) representation of perception-based knowledge: verbal vs. pictorial representation, mental images and hierarchical structure of images. Examples given in the paper were mostly taken from Gal's study (2005) which aimed at identifying and analyzing Problematic Learning Situations (after Gal & Linchevski, 2000) in junior high school geometry classes. Gal's study (2005) suggests that while this theoretical perspective became part of teachers' pedagogic content knowledge, the teachers were aware of their students' thinking processes and their ability to analyze and cope with their students’ difficulties in geometry was improved.     

Types of reasoning in 3D geometry thinking and their relation with spatial ability

The aim of this study is to describe and analyse the structure of 3D geometry thinking by identifying different types of reasoning and to examine their relation with spatial ability. To achieve this goal, two tests were administered to students in grades 5 to 9. The results of the study showed that 3D geometry thinking could be described by four distinct types of reasoning which refer to the representation of 3D objects, spatial structuring, conceptualisation of mathematical properties and measurement. The analysis of the study also showed that 3D geometry types of reasoning and spatial abilities should be modelled as different constructs. Finally, it was concluded that students’ spatial abilities, which consist of spatial visualisation, spatial orientation and spatial relations factors, are a strong predictive factor of the four types of reasoning in 3D geometry thinking.     

An empirical study of using history as a ‘goal’

This article discusses an empirical study on the use of history as a goal. A historical module is designed and implemented in a Danish upper secondary class in order to study the students’ capabilities at engaging in meta-issue discussions and reflections on mathematics and its history. Based on videos of the implementation, students’ hand-in essay assignments, questionnaires, and follow-up interviews, the conditions, sense, and extent to which the students are able to perform such discussions and reflections are analyzed using a described theoretical framework.     

Thinking aloud together: A teacher’s semiotic mediation of a whole-class conversation about percents

How does classroom interaction support students’ apprenticeship into the ways of speaking, writing, and diagramming that constitute the practice of mathematics? We address this problem through an interpretative analysis of a whole-group conversation about alternative ways of solving a problem involving percent discounts that occurred in a sixth grade classroom. This research study draws upon Dewey’s theory of inquiry, Vygotsky’s cultural–historical psychology, Freudenthal’s realistic mathematics education, and Halliday’s systemic functional linguistics (SFL). From Freudenthal, we borrow the notions of mathematizing and guided reinvention—the former notion offers a view of mathematics as an activity of structuring subject matter and the latter one provides insights into the processes whereby mathematizing is learned and taught in the classroom. We glean from Dewey his view of reflective thinking as inquiry and the role that conversations may serve therein. We rely upon Vygotsky’s notions of a verbal thinking plane and a social phase of learning in order to reconsider the function of whole-class interaction in apprenticing students into mathematizing. Finally, SFL provides us with tools for explaining the choices of grammar and vocabulary students and teachers make as they realize meanings in whole-group conversations. Treating the selected whole-class conversation as a text, we focus our analysis on how this text came to mean what it did. Our central questions are as follows: What meanings were realized in the whole-class conversation by teacher and students and how were these meanings realized? How did the teacher’s lexico-grammatical choices guide the students’ choices? In addressing these questions, we advance an interpretation of the conversation as paradigmatic of students and teacher thinking aloud together about percents.