The Importance of Teaching Students How to Read to Comprehend Mathematical Language

In this action research study of my classroom of 8th and 9th grade Algebra I students, I investigated if there are any benefits for the students in my class to learn how to read, translate, use, and understand the mathematical language found daily in their math lessons. I discovered that daily use and practice of the mathematical language in both written and verbal form, by not only me but by my students as well, improved their understanding of the textbook instructions, increased their vocabulary and also increased their understanding of their math lessons. I also found that my students remembered the mathematical material better with constant use of mathematical language and terms. As a result of this research, I plan to continue stressing the use of mathematical language and vocabulary in my classroom and will try to develop new ways to help students to read, understand, and remember mathematical language they find daily in their textbooks.

Analysis of Bibliographic References by Textbook Authors in Nigerian Polytechnics

The study analyzed references listed by textbook authors from Nigerian polytechnics. The educational qualifications, subject background, and institutional affiliations of authors and publishers of textbooks were examined. Documentary research design was adopted for this study. A total of 102 books were examined using the availability sampling technique. Data gathered were analyzed using descriptive statistics. The study revealed that a significant majority of the textbooks were filled with citation errors. Findings revealed that a majority of the textbooks used the American Psychological association (APA) format of referencing. Further analysis revealed that a significant number of textbooks had no references at all. It was discovered that books by authors with lower qualifications are the most involved in the different types of citation errors. The study also revealed that few textbooks cited electronic information. The paper recommends that serious attention be given to bibliographical references by organizing workshops and seminars for authors.

OPENING REMARKS - THIRD VERTEBRATE PEST CONFERENCE

To open this Third Vertebrate Pest Conference is a real privilege. It is a pleasure to welcome all of you in attendance, and I know there are others who would like to be meeting with us, but, for one reason or another cannot be. However, we can serve them by taking back the results of discussion and by making available the printed transactions of what is said here. It has been the interest and demand for the proceedings of the two previous conferen- ces which, along with personal contacts many of you have with the sponsoring committee, have gauged the need for continuing these meetings. The National Pest Control Association officers who printed the 1962 proceedings still are supplying copies of that conference. Two reprintings of the 1964 conference have been necessary and repeat orders from several universities indicate that those proceedings have become textbooks for special classes. When Dr. Howard mentioned in opening the first Conference in 1962 that publication of those papers would make a valuable handbook of animal control, he was prophetic, indeed. We are pleased that this has happened, but not surprised, since to many of us in this specialized field, the conferences have provided a unique opportunity to meet colleagues with similar interests, to exchange information on control techniques and to be informed by research workers of problem solving investigations as well as to hear of promising basic research. The development of research is a two-way street and we think these conferences also identify areas of inadequate knowledge, thereby stimulating needed research. We have represented here a number of types of specialists—animal ecologists, public health and transmissible disease experts, control methods specialists, public agency administration and enforcement staffs, agricultural extension people, manufacturing and sale industry representatives, commercial pest control operators, and others—and in addition to improving communications among these professional groups an equally important purpose of these conferences is to improve understanding between them and the general public. Within the term general public are many individuals and also organizations dedicated to appreciation and protection of certain animal forms or animal life in general. Proper concepts of vertebrate pest control do not conflict with such views. It is worth repeating for the record the definition of "vertebrate pest" which has been stated at our previous conferences. "A vertebrate pest is any native or introduced, wild or feral, non-human spe- cies of vertebrate animal that is currently troublesome locally or over a wide area to one or more persons either by being a general nuisance, a health hazard or by destroying food or natural resources. In other words, vertebrate pest status is not an inherent quality or fixed classification but is a circumstantial relationship to man's interests." I believe progress has been made in reducing the misunderstanding and emotion with which vertebrate pest control was formerly treated whenever a necessity for control was stated. If this is true, I likewise believe it is deserved, because control methods and programs have progressed. Control no longer refers only to population reductions by lethal means. We have learned something of alternate control approaches and the necessity for studying the total environment; where reduction of pest animal numbers is the required solution to a problem situation we have a wider choice of more selective, safe and efficient materials. Although increased attention has been given to control methods, research when we take a close look at the severity of animal damage to so many facets of our economy, particularly to agricultural production and public health, we realize it still is pitifully small and slow. The tremendous acceleration of the world's food and health requirements seems to demand expediting vertebrate pest control to effectively neutralize the enormous impact of animal damage to vital resources. The efforts we are making here at problem delineation, idea communication and exchange of methodology could well serve as both nucleus and rough model for a broader application elsewhere. I know we all hope this Third Conference will advance these general objectives, and I think there is no doubt of its value in increasing our own scope of information.

Uma análise dos livros de André Perez Y Marin: um momento da história da matemática escolar brasileira no início do século XX

Pós-graduação em Educação Matemática - IGCE

Livros didáticos e concepções de professores: a história da Ciência no ensino de Equilíbrio Químico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo de sistemas não-lineares em mecânica quântica

The main goal of this work is to investigate the effects of a nonlinear cubic term inserted in the Schrödinger equation for one-dimensional potentials studied in Quantum Mechanics textbooks. Being the main tool the numerical analysis in a large number of works, the analysis of this effect by this term in the potential itself, in order to work with an analytical solution, can be considered something new. For the harmonic oscillator potential, the analysis was made from a numerical method, comparing the result with the known results in the literature. In the case of the infinite well potential and the step potential, hoping to work with an analytical solution, by construction we started with the known wavefunction for the linear case noting the effects in the other physical quantities. The coupling of the physical quantities involved in this work has yielded, besides many complications in the calculations, a series of conditions on the existence and validity of the solutions in regard to the system possible configurations

Foto-Geo-Grafia: uma aproximação entre linguagens

Currently we live in an increasingly visual world, where images are used as non-verbal language for different interests. Considering the ease of getting a photograph and the many ways that it can find, understand that this language can be a means of reading the geographic space, appearing as text and not only as illustration for teaching geography. Thus, this work aims to try an approach between artistic photographic language and geographic scientific language, observing how different groups with different ages read the geographic space through photographs. Focusing on the school environment, we have in mind the need to work with the various pictorial means that are increasingly present in textbooks of geography teaching. Here then, as proposed, a trial in which students from elementary and secondary education will shoot what for them is the city. The analysis will be performed observing possible differences and / or common aspects in the photographs according to the age group of students groups, trying to discover how the geographic space is being read by students through images and how this trial can contribute to the basic education of discipline geography

The impact of structured teaching methods on the quality of education in Brazil

This paper estimates the impact of the use of structured methods on the quality of education for students in primary public school in Brazil. Structured methods encompass a range of pedagogical and managerial instruments applied in the educational system. In recent years, several municipalities in the state of Sao Paulo have contracted out private educational providers to implement these structured methods in their schooling systems. Their pedagogical proposal involves structuring of curriculum content, development of teacher and student textbooks, and the training and supervision of teachers anti instructors. Using a difference-in-differences estimation strategy, we find that the 4th- and 8th-grade students in the municipalities with structured methods performed better in Portuguese and mathematics than did students in municipalities not exposed to these methods. We find no differences in passing rates. A robustness test supports the assumption that there is no unobserved municipal characteristics associated with proficiency changes over time that may affect the results. (C) 2012 Elsevier Ltd. All rights reserved.

The occipital lobe convexity sulci and gyri

Object. The anatomy of the occipital lobe convexity is so intricate and variable that its precise description is not found in the classic anatomy textbooks, and the occipital sulci and gyri are described with different nomenclatures according to different authors. The aim of this study was to investigate and describe the anatomy of the occipital lobe convexity and clarify its nomenclature. Methods. The configurations of sulci and gyri on the lateral surface of the occipital lobe of 20 cerebral hemispheres were examined in order to identify the most characteristic and consistent patterns. Results. The most characteristic and consistent occipital sulci identified in this study were the intraoccipital, transverse occipital, and lateral occipital sulci. The morphology of the transverse occipital sulcus and the intraoccipital sulcus connection was identified as the most important aspect to define the gyral pattern of the occipital lobe convexity. Conclusions. Knowledge of the main features of the occipital sulci and gyri permits the recognition of a basic configuration of the occipital lobe and the identification of its sulcal and gyral variations. (http://thejns.org/doi/abs/10.3171/2012.1.JNS11978)

Livros on-line da área médica

O trabalho indica alguns sites a serem considerados como alternativa para acesso gratuito a livros on-line disponíveis na Internet e destinados à área médica.

Investigando a presença da história da ciência em livros didáticos de Química Geral para o ensino superior

This paper aims at analyzing the history of science content of three general chemistry textbooks used in Brazilian universities: the translations of Kotz and Treichel's Chemistry & Chemical Reactivity, Atkins and Jones's Chemical Principles, and Garritz and Chamizo's Química. Results revealed different trends for the inclusion of history of science in chemistry teaching. Kotz & Treichel and Atkins & Jones used history mainly as curiosity and ornament. Garritz & Chamizo adopted the historical approach as one of the organizing axis of their textbook. Nevertheless, the historical content of the three textbooks may be criticized from current historiographical standpoint.

A história da ciência nos livros didáticos de química do PNLEM 2007

Este trabalho analisa os seis livros didáticos de química indicados pelo Programa Nacional do Livro Didático para o Ensino Médio em 2007 (PNLEM 2007), no que se refere a seus conteúdos de história da ciência. Para isso, partiu-se do instrumento de análise desenvolvido por L. Leite (2002), que foi adaptado para a presente investigação. Os resultados obtidos indicam, como tendência geral, que a história da ciência é apresentada nos livros didáticos de maneira linear e superficial, constando, sobretudo, de nomes e datas. Dessa maneira, concluímos que os conteúdos de história da ciência desses livros não contribuem para que os alunos desenvolvam uma imagem do empreendimento científico condizente com os objetivos educacionais da atualidade.

O livro didático no ensino do direito

Esse trabalho tem por objetivo a análise de livros didáticos jurídicos na perspectiva da história dos direitos europeu e brasileiro, tendo como referencial teórico o texto de Alain Choppin sobre as funções do livro didático. Foram analisados livros didáticos jurídicos produzidos desde a Antiguidade até os dias atuais, assim como importantes mudanças legislativas ocorridas em Portugal no século XVIII e no Brasil no século XIX. Seus autores são, em sua maioria, professores universitários, para que seus textos servissem de fonte de argumentos de autoridade na prática. Ao lado dos manuais, sempre foi recorrente o uso de apostilas elaboradas pelos professores ou pelos próprios alunos, a partir das anotações das aulas. Nos últimos tempos, os manuais sofrem a concorrência dos resumos voltados para concursos públicos e dos “cadernos” distribuídos pelos alunos pela Internet. As principais conclusões foram as de que os livros didáticos jurídicos são importantes para o aprendizado do Direito.

Corpus-based teaching of pragmatics

[EN]This paper is a proposal for teaching pragmatics following a corpus-based approach. Corpora have had a high impact on how linguistics is looked at these days. However, teaching linguistics is still traditional in its scope and stays away from a growing tendency of incorporating authentic samples in the theoretical classroom, and so lecturers perpetuate the presentation of the same canonical examples students may find in their textbooks or in other introductory monographs. Our view is that using corpus linguistics, especially corpora freely available in the World Wide Web, will result in a more engaging and fresh look at the course of Pragmatics, while promoting early research in students. This way, they learn the concepts but most importantly how to later identify pragmatic phenomena in real text. Here, we raise our concern with the methodology, presenting clear examples of corpus-based pragmatic activities, and one clear result is the fact that students learn also how to be autonomous in their analysis o f data. In our proposal, we move from more controlled tasks to autonomy. This proposal focuses on students enrolled in the course Pragmática de la Lengua inglesa, currently part of the curriculum in Lenguas Modernas, Universidad de Las Palmas de Gran Canaria.

Reconstructing Quantum Field Theory from an Educational Perspective

The research work concerns the analysis of the foundations of Quantum Field Theory carried out from an educational perspective. The whole research has been driven by two questions: • How the concept of object changes when moving from classical to contemporary physics? • How are the concepts of field and interaction shaped and conceptualized within contemporary physics? What makes quantum field and interaction similar to and what makes them different from the classical ones? The whole work has been developed through several studies: 1. A study aimed to analyze the formal and conceptual structures characterizing the description of the continuous systems that remain invariant in the transition from classical to contemporary physics. 2. A study aimed to analyze the changes in the meanings of the concepts of field and interaction in the transition to quantum field theory. 3. A detailed study of the Klein-Gordon equation aimed at analyzing, in a case considered emblematic, some interpretative (conceptual and didactical) problems in the concept of field that the university textbooks do not address explicitly. 4. A study concerning the application of the “Discipline-Culture” Model elaborated by I. Galili to the analysis of the Klein-Gordon equation, in order to reconstruct the meanings of the equation from a cultural perspective. 5. A critical analysis, in the light of the results of the studies mentioned above, of the existing proposals for teaching basic concepts of Quantum Field Theory and particle physics at the secondary school level or in introductory physics university courses.