Chinese young children’s strategies on basic addition facts

Kindergartens in China offer structured full-day programs for children aged 3-6. Although formal schooling does not commence until age 7, the mathematics program in kindergartens is specifically focused on developing young children’s facility with simple addition and subtraction. This study explored young Chinese children’s strategies for solving basic addition facts as well as their intuitive understanding of addition via interview methods. Results indicate a strong impact that teacher-directed teaching methods have on young children’s cognitions in relation to addition.

Improving Automaticity with Basic Addition Facts: Do Taped Problems Work Faster Than Cover, Copy, Compare?

This small pilot study compared the effectiveness of two interventions to improve automaticity with basic addition facts: Taped Problems (TP) and Cover, Copy, Compare (CCC), in students aged 6-10. Automaticity was measured using Mathematics Curriculum-Based Measurement (M-CBM) at pretest, after 10 days, and after 20 days of intervention. Our hypothesis was that the TP group will gain higher levels of automaticity more quickly than the CCC and control groups. However, when gain scores were compared, no significant differences were found between groups. Limitations to the study include low treatment integrity and a short duration of intervention.

Finalités de l'enseignement de l'histoire et nation dans les représentations sociales des enseignants d'histoire du Québec au secondaire

L’enseignement fait l’objet de nombreux débats au Québec et à travers le monde, pratiquement depuis qu’il existe. L’implantation du nouveau programme de formation au Québec durant les années 2000 a donné lieu à des débats particulièrement vigoureux. En effet, ceux-ci ont mené à la révision des programmes d’histoire du Québec au secondaire moins de dix ans après leur mise en application. Au cœur de ces discussions se trouvait la place de la nation et de la mémoire collective. Pour plusieurs, le nouveau curriculum négligeait de transmettre aux élèves les principales connaissances historiques liées aux origines et à l’évolution de la nation québécoise. Notre recherche tente de mieux comprendre le rôle que joue l’identification à la nation dans l’enseignement de l’histoire et l’impact que peut avoir le programme de formation sur cet aspect de la pratique enseignante. Pour apporter des éléments de réponse à cette question, nous avons mis en place deux dispositifs méthodologiques : un qualitatif et un quantitatif. Nous visions ainsi à cerner les représentations sociales des enseignants à propos des finalités de l’enseignement de l’histoire et de la place que doit y tenir l’identification à la nation. Pour ce faire, nous avons situé les réponses des participants à l’aide des finalités de l’enseignement de l’histoire évoquées par Audigier (1995): patrimoniales et civiques, intellectuelles et critiques ainsi que pratiques. La phase qualitative de notre étude consiste en des entrevues avec huit enseignants d’histoire du Québec au secondaire. Fondées sur les écrits à propos des représentations sociales, les entrevues présentent le profil de huit enseignants qui intègrent, à leur façon, la nation dans leur enseignement. Les données recueillies lors de cette phase de la recherche nous ont permis de créer un sondage à l'aide duquel nous avons recueilli des données pour la phase quantitative de la recherche. Ce sondage, mené auprès de 36 enseignants d’histoire du Québec au secondaire, montre que les finalités patrimoniales iii et civiques de l’enseignement de l’histoire sont toujours bien présentes dans les représentations sociales des enseignants, malgré le changement de programme.

Alocação ótima de equipamentos SVC e TCSC na rede de transmissão de energia elétrica

Pós-graduação em Engenharia Elétrica - FEIS

Student Problem Solving

The purpose of this study is to determine if students solve math problems using addition, subtraction, multiplication, and division consistently and whether students transfer these skills to other mathematical situations and solutions. In this action research study, a classroom of 6th grade mathematics students was used to investigate how students solve word problems and how they determine which mathematical approach to use to solve a problem. It was discovered that many of the students read and re-read a question before they try to find an answer. Most students will check their answer to determine if it is correct and makes sense. Most students agree that mastering basic math facts is very important for problem solving and prefer mathematics that does not focus on problem solving. As a result of this research, it will be emphasized to the building principal and staff the need for a unified and focused curriculum with a scope and sequence for delivery that is consistently followed. The importance of managing basic math skills and making sure each student is challenged to be a mathematical thinker will be stressed.

Calculators in a Middle School Mathematics Classroom: Helpful or Harmful?

In this action research study of my classroom of eighth grade mathematics, I investigated the use of calculators. Specifically, I wanted to know the answer to three questions. I wanted to know more about what would happen to my students’ ability to recall basic math facts, their ability to communicate mathematically during problem solving, and their attitude when my students were or were not permitted to use their calculator. I discovered that in my research, I did not find enough evidence to either support or reject my initial hypotheses, that calculators largely influenced my students’ behavior, and also that my students’ ability to recall basic math facts would change when using a calculator. As a result of this research, I plan to continue my research within my classroom. I plan to further investigate the use of calculators within my classroom.

Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality

We study representations of MV-algebras -- equivalently, unital lattice-ordered abelian groups -- through the lens of Stone-Priestley duality, using canonical extensions as an essential tool. Specifically, the theory of canonical extensions implies that the (Stone-Priestley) dual spaces of MV-algebras carry the structure of topological partial commutative ordered semigroups. We use this structure to obtain two different decompositions of such spaces, one indexed over the prime MV-spectrum, the other over the maximal MV-spectrum. These decompositions yield sheaf representations of MV-algebras, using a new and purely duality-theoretic result that relates certain sheaf representations of distributive lattices to decompositions of their dual spaces. Importantly, the proofs of the MV-algebraic representation theorems that we obtain in this way are distinguished from the existing work on this topic by the following features: (1) we use only basic algebraic facts about MV-algebras; (2) we show that the two aforementioned sheaf representations are special cases of a common result, with potential for generalizations; and (3) we show that these results are strongly related to the structure of the Stone-Priestley duals of MV-algebras. In addition, using our analysis of these decompositions, we prove that MV-algebras with isomorphic underlying lattices have homeomorphic maximal MV-spectra. This result is an MV-algebraic generalization of a classical theorem by Kaplansky stating that two compact Hausdorff spaces are homeomorphic if, and only if, the lattices of continuous [0, 1]-valued functions on the spaces are isomorphic.

An Artificial Intelligence Approach to Dyscalculia

Dyscalculia stands for a brain-based condition that makes it hard to make sense of numbers and mathematical concepts. Some adolescents with dyscalculia cannot grasp basic number concepts. They work hard to learn and memorize basic number facts. They may know what to do in mathematical classes but do not understand why they are doing it. In other words, they miss the logic behind it. However, it may be worked out in order to decrease its degree of severity. For example, disMAT, an app developed for android may help children to apply mathematical concepts, without much effort, that is turning in itself, a promising tool to dyscalculia treatment. Thus, this work focuses on the development of an Intelligent System to estimate children evidences of dyscalculia, based on data obtained on-the-fly with disMAT. The computational framework is built on top of a Logic Programming framework to Knowledge Representation and Reasoning, complemented with a Case-Based problem solving approach to computing, that allows for the handling of incomplete, unknown, or even contradictory information.

Basic facts about trademarks.

Title from cover.

Globalist Fallacies, Fictions and Facts: The MAI and Neo-classic Ideology

There is little evidence, historical or otherwise, to suggest that the needs of people and societies change greatly over time. Whilst acknowledging the benefits of the many recent technological innovations that are part of the contemporary milieu, I am reluctant to see such advances as sufficient rationale for the dismantling of the social contract between a government and its citizenry. The Multilateral Agreement on Investment (MAI) highlights the move amongst developed countries to replace a national policy focus with a multilateral approach to global policy formulation that transcends the sovereignty of nation states. The purpose of this paper is to refute the assumptions underpinning multilateralist assertions that government has a diminishing role to play in the global society, and that national sovereignty, due to the increasingly important role of multilateral agreements and the global economy, is ‘a thing of the past’ (Arthur Asher, background briefing interview, Radio National, February 1, 1998). The basic premises that underpin the globalist argument1 for the diminishing role of government are that: • Economic growth increases jobs, prosperity, and freedom. • Free trade is an imperative for successful globalisation because financial sector performance - which depends on deregulation - is integral to global economic growth. • Information technology is revolutionising global trade and making globalisation inevitable. • Globalisation through deregulation, makes national boundaries meaningless, and therefore, national regulatory policies anachronistic. This paper compares the aforementioned axiomatic premises of globalisation to actual outcomes, events, and trends in the real world.

The Effect of Proximity, Explicitness, and Representation of Basic Science Information on Student Clinical Problem-Solving

Problem: Medical and veterinary students memorize facts but then have difficulty applying those facts in clinical problem solving. Cognitive engineering research suggests that the inability of medical and veterinary students to infer concepts from facts may be due in part to specific features of how information is represented and organized in educational materials. First, physical separation of pieces of information may increase the cognitive load on the student. Second, information that is necessary but not explicitly stated may also contribute to the student’s cognitive load. Finally, the types of representations – textual or graphical – may also support or hinder the student’s learning process. This may explain why students have difficulty applying biomedical facts in clinical problem solving. Purpose: To test the hypothesis that three specific aspects of expository text – the patial distance between the facts needed to infer a rule, the explicitness of information, and the format of representation – affected the ability of students to solve clinical problems. Setting: The study was conducted in the parasitology laboratory of a college of veterinary medicine in Texas. Sample: The study subjects were a convenience sample consisting of 132 second-year veterinary students who matriculated in 2007. The age of this class upon admission ranged from 20-52, and the gender makeup of this class consisted of approximately 75% females and 25% males. Results: No statistically significant difference in student ability to solve clinical problems was found when relevant facts were placed in proximity, nor when an explicit rule was stated. Further, no statistically significant difference in student ability to solve clinical problems was found when students were given different representations of material, including tables and concept maps. Findings: The findings from this study indicate that the three properties investigated – proximity, explicitness, and representation – had no statistically significant effect on student learning as it relates to clinical problem-solving ability. However, ad hoc observations as well as findings from other researchers suggest that the subjects were probably using rote learning techniques such as memorization, and therefore were not attempting to infer relationships from the factual material in the interventions, unless they were specifically prompted to look for patterns. A serendipitous finding unrelated to the study hypothesis was that those subjects who correctly answered questions regarding functional (non-morphologic) properties, such as mode of transmission and intermediate host, at the family taxonomic level were significantly more likely to correctly answer clinical case scenarios than were subjects who did not correctly answer questions regarding functional properties. These findings suggest a strong relationship (p < .001) between well-organized knowledge of taxonomic functional properties and clinical problem solving ability. Recommendations: Further study should be undertaken investigating the relationship between knowledge of functional taxonomic properties and clinical problem solving ability. In addition, the effect of prompting students to look for patterns in instructional material, followed by the effect of factors that affect cognitive load such as proximity, explicitness, and representation, should be explored.

Near-infrared spectroscopic study of basic aluminum sulfate and nitrate

The tridecameric Al-polymer [AlO4Al12(OH)24(H2O)12]7+ was prepared by forced hydrolysis of Al3+ up to an OH/Al molar ratio of 2.2. Under slow evaporation crystals were formed of Al13-nitrate. Upon addition of sulfate the tridecamer crystallised as the monoclinic Al13-sulfate. These crystals have been studied using near-infrared spectroscopy and compared to Al2(SO4)3.16H2O. Although the near-infrared spectra of the Al13-sulfate and nitrate are very similar indicating similar crystal structures, there are minor differences related to the strength with which the crystal water molecules are bonded to the salt groups. The interaction between crystal water and nitrate is stronger than with the sulfate as reflected by the shift of the crystal water band positions from 6213, 4874 and 4553 cm–1 for the Al13 sulfate towards 5925, 4848 and 4532 cm–1 for the nitrate. A reversed shift from 5079 and 5037 cm–1 for the sulfate towards 5238 and 5040 cm–1 for the nitrate for the water molecules in the Al13 indicate that the nitrate-Al13 bond is weakened due to the influence of the crystal water on the nitrate. The Al-OH bond in the Al13 complex is not influenced by changing the salt group due to the shielding by the water molecules of the Al13 complex.