Temporary validation: the challenges of remedial literacy programs

This chapter describes the professional learning of the author while coordinating a literacy intervention program at the state secondary school where she was teaching English.

Effects of using manipulative materials to teach remedial algebra to community college students on achievement and attitudes towards mathematics

This dissertation derived hypotheses from the theories of Piaget, Bruner and Dienes regarding the effects of using Algebra Tiles and other manipulative materials to teach remedial algebra to community college students. The dependent variables measured were achievement and attitude towards mathematics. The Piagetian cognitive level of the students in the study was measured and used as a concomitant factor in the study.^ The population for the study was comprised of remedial algebra students at a large urban community college. The sample for the study consisted of 253 students enrolled in 10 sections of remedial algebra at three of the six campuses of the college. Pretests included administration of an achievement pre-measure, Aiken's Mathematics Attitude Inventory (MAI), and the Group Assessment of Logical Thinking (GALT). Posttest measures included a course final exam and a second administration of the MAI.^ The results of the GALT test revealed that 161 students (63.6%) were concrete operational, 65 (25.7%) were transitional, and 27 (10.7%) were formal operational. For the purpose of analyzing the data, the transitional and formal operational students were grouped together.^ Univariate factorial analyses of covariance ($\alpha$ =.05) were performed on the posttest of achievement (covariate = achievement pretest) and the MAI posttest (covariate = MAI pretest). The factors used in the analysis were method of teaching (manipulative vs. traditional) and cognitive level (concrete operational vs. transitional/formal operational).^ The analyses for achievement revealed a significant difference in favor of the manipulatives groups in the computations by campus. Significant differences were not noted in the analysis by individual instructors.^ The results for attitude towards mathematics showed a significant difference in favor of the manipulatives groups for the college-wide analysis and for one campus. The analysis by individual instructor was not significant. In addition, the college-wide analysis was significant in favor of the transitional/formal operational stage of cognitive development. However, support for this conclusion was not obtained in the analyses by campus or individual instructor. ^

Teaching down or learning up

Résumé : L'élément important que cette thèse sous-tend est que l'enseignement efficace n'est pas seulement constitué de techniques et de méthodologie, mais plutôt d'attitude et d'approche envers l'enseignement. Ceci ne veut pas nécessairement dire que plusieurs méthodes d'enseignement reçues dans un cours avec l'intention d'optimaliser les mécanismes de transmission et d'assimilation de la matière sont inappropriées. Cependant, l'absence de ce que nous pourrions définir comme un ton pédagogique est essentiel, c'est-à-dire, qu'une attitude positive à la productivité autant vis-à-vis de la matière à transmettre que vis-à-vis de l'individu impliqué dans "l'acte" de réception versus la découverte, aura davantage de succès. Toute autre méthode sera complètement inefficace, inaccessible, voire même inutile. D'emblée, dans l'hypothèse de départ, l'argument principal présente une attitude générale d'enseignement à divers échelons ; soit au niveau secondaire ou collégial qui est inappropriée, incomplète ou négative. En d'autres mots, cette approche thérapeutise l'éducation. Dans l'exercice de cette approche, l'enseignant ou l'enseignante adopte plutôt le rôle d'un thérapeute que celui d'un éducateur. De ce fait, le professeur en situation a une approche plutôt de thérapeute que celle de maître-précepteur et que la matière présentée est souvent diluée, et réduite à des niveaux d'apprentissage accompagnés de carences notoires et d'échecs académiques. Les attentes d'une performance dans le milieu académique sont souvent des plus modestes. Cette même tendance d'une éducation à la baisse est évidente aussi dans le processus d'évaluation. Il est certain que dans les disciplines non scientifiques, l'évaluation formative a grandement suivi l'évaluation normative conduisant le précepteur, tour à tour, dans une évaluation dormative dans laquelle l'effort et l'intention remplacent les aptitudes et les habilitées réelles. Si l'approche pédagogique est vraiment l'élément crucial de l'éducation, il Importe que l'approche générale influence le climat de l'éducation contemporaine, de fait, devienne un palliatif contre-productif souvent réhabilitant. De plus, cette pseudo-thérapie d'où d'écoule une attitude exigeante envers l'enseignant et l'apprenant dont le fondement est la reconnaissance des impératifs culturels qui en sont le reflet et le corps doit-être affirmé et transposé dans la réalité. Cette dernière comprend des attentes très poussées en ce qui concerne la performance en classe et aussi le respect de la matière qui contient la présentation routinière et fondamentale; renouveau intense du processus d'évaluation qui fournira des standards communs et des objectifs externes dans l'évaluation du travail de l'étudiant. Cette connaissance et domestication empirique que nous présente Vygotsky dans un climat contemporain qu'il a expliqué ces termes comme "des zones de développement proximales" basées sur la doctrine suivante que le bon apprentissage précède le développement et que conséquemment s'ensuit une pédagogie d'apprentissage plutôt qu'une pédagogie centrée sur l'apprenant. L'application significative de ces derniers principes ou de ces épistémologiques s'imbriquent dans une situation d'apprentissage ascentionnel dont la structure est détaillée et considérée par différentes perspectives de la recherche qui suit.||Abstract : The central tenet of this thesis is that effective teaching is not only and perhaps not primarily a matter of technique and methodology but of attitude and approach. This is not to say that diverse methods of classroom instruction intended to optimize the mechanics of transmission and the assimilation of data are inappropriate but that in the absence of what we might denominate as a certain pedagogical tone. that is, a productive attitude toward both the material to be conveyed and the individuel engaged in the 'act' of reception-and-discovery, even the most powerful methods will be differentially unavailing or, at best, inefficient. Given this initial assumption, the argument proceeds that the general attitude toward instruction currently in place at the secondary echelons, that is, on the high school and college levels, may be popularly represented as a 'teaching down' approach, in other words, as one which seeks to therapeuticize education. In practice this means that the teacher tends to manifest in situ more as a therapist than as a preceptor, that the material to be presented is frequently diluted or scaled down to perceived levels of cognitive (dis)ability (as is also the case with the rate of instruction), and that performance expectations in the current pedagogical milieu are commonly quite modest. The same downward trend is evident in assessment protocols as well. Certainly in the nonscientific disciplines, normative evaluation has been widely succeeded by formative evaluation, leading in turn to a peculiar kind of dormative evaluation in which intangibles such as effort and intention may deputize for realized ability. If pedagogical approach is indeed the crucial element in instruction, and if the general approach that pervades the contemporary climate of instruction is indeed counter-productively remedial or rehabilitory, that is, therapeutic, then it should follow that a more demanding attitude toward teaching and learning founded on the recognition of the culturel imperative which teaching both reflects and embodies needs to be re-affirmed and translated into practice. This latter would entail the maintenance of high expectations with regard to classroom performance, a respect for the material which precludes its routine mitigation or debasement, a renewed insistance on grading protocols that provide an external, 'objective' or communal standard against which the student's work can be measured, the empirical acknowledgment or domestication of what Vygotsky has termed "the zone of proximal development," based on the doctrine that good learning proceeds in advance of development, and conséquently, a learning-centered rather than learner-centered pedagogy. The meaningful application of this latter set of principles or epistemological gradients comprises the 'learning up' situation whose structure is excunined in some détail and considered from various perspectives in the ensuing.

A Low Cost Controller Board for Teaching Robotics

This paper presents the Smarty Board; a new micro-controller board designed specifically for the robotics teaching needs of Australian schools. The primary motivation for this work was the lack of commercially available and cheap controller boards that would have all their components including interfaces on a single board. Having a single board simplifies the construction of programmable robots that can be used as platforms for teaching and learning robotics. Reducing the cost of the board as much as possible was one of the main design objectives. The target user groups for this device are the secondary and tertiary students, and hobbyists. Previous studies have shown that equipment cost is one of the major obstacles for teaching robotics in Australia. The new controller board was demonstrated at high-school seminars. In these demonstrations the new controller board was used for controlling two robots that we built. These robots are available as kits. Given the strong demand from high-school teachers, new kits will be developed for the next robotic Olympiad to be held in Australia in 2006.