Algebra, or universal mathematics: revived 1738 with notes and additions : manuscript, [after 1738]

Instructional book in algebra with exercises.

On the study and difficulties of mathematics /

First edition, 1831.

Real mathematics, intended mainly for practical engineers, as an aid to the study and comprehension of mathematics,

Mode of access: Internet.

Pre-Service Teachers’ Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

Thesis (Ph.D.)--University of Washington, 2016-06

A broad-scale analysis of links between coastal fisheries production and mangrove extent: A case-study for northeastern Australia

The paradigm that mangroves are critical for sustaining production in coastal fisheries is widely accepted, but empirical evidence has been tenuous. This study showed that links between mangrove extent and coastal fisheries production could be detected for some species at a broad regional scale (1000s of kilometres) on the east coast of Queensland, Australia. The relationships between catch-per-unit-effort for different commercially caught species in four fisheries (trawl, line, net and pot fisheries) and mangrove characteristics, estimated from Landsat images were examined using multiple regression analyses. The species were categorised into three groups based on information on their life history characteristics, namely mangrove-related species (banana prawns Penaeus merguiensis, mud crabs Scylla serrata and barramundi Lates calcarifer), estuarine species (tiger prawns Penaeus esculentus and Penaeus semisulcatus, blue swimmer crabs Portunus pelagicus and blue threadfin Eleutheronema tetradactylum) and offshore species (coral trout Plectropomus spp.). For the mangrove-related species, mangrove characteristics such as area and perimeter accounted for most of the variation in the model; for the non-mangrove estuarine species, latitude was the dominant parameter but some mangrove characteristics (e.g. mangrove perimeter) also made significant contributions to the models. In contrast, for the offshore species, latitude was the dominant variable, with no contribution from mangrove characteristics. This study also identified that finer scale spatial data for the fisheries, to enable catch information to be attributed to a particular catchment, would help to improve our understanding of relationships between mangroves and fisheries production. (C) 2005 Elsevier B.V. All rights reserved.

Diabetes mellitus and serum carotenoids: findings of a population-based study in Queensland, Australia

Background: Epidemiologic evidence suggests that serum carotenoids are potent antioxidants and may play a protective role in the development of chronic diseases including cancers, cardiovascular disease, and inflammatory diseases. The role of these antioxidants in the pathogenesis of diabetes mellitus remains unclear. Objective: This study examined data from a cross-sectional survey to investigate the association between serum carotenoids and type 2 diabetes. Design: Study participants were adults aged >= 25 y (n = 1597) from 6 randomly selected cities and towns in Queensland, Australia. Study examinations conducted between October and December 2000 included fasting plasma glucose, an oral-glucose-tolerance test, and measurement of the serum concentrations of 5 carotenoid compounds. Results: Mean 2-h postload plasma glucose and fasting insulin concentrations decreased significantly with increasing quintiles of the 5 serum carotenoids-alpha-carotene, beta-carotene, beta-cryptoxanthin, lutein/zeaxanthin, and lycopene. Geometric mean concentrations for all serum carotenoids decreased (all decreases were significant except that of lycopene) with declining glucose tolerance status. beta-Carotene had the greatest decrease, to geometric means of 0.59, 0.50, and 0.42 mu mol/L in persons with normal glucose tolerance, impaired glucose metabolism, and type 2 diabetes, respectively (P < 0.01 for linear trend), after control for potential confounders. Conclusions: Serum carotenoids are inversely associated with type 2 diabetes and impaired glucose metabolism. Randomized trials of diets high in carotenoid-rich vegetables and fruit are needed to confirm these results and those from other observational studies. Such evidence would have very important implications for the prevention of diabetes.

I-Spi: innovative shared practical ideas: a support guide for literacy and numeracy in the early years of schooling, for home tutor/supervisors in distance education

Innovative Shared Practical Ideas (I-Spi) is a guide to help you and your children learn together. It is designed to affirm, support and strengthen your role as home tutor/supervisors in your daily learning sessions with your children. In this guide particular emphasis is given to the value of talk, formal and informal early literacy and numeracy practices (including ideas from distance school lessons, from home tutor/supervisors, research, and beyond), assessment of these practices together with informal assessment ideas for gauging your children’s literacy and numeracy progress, and stepping in and building on strategies

Heteronormativity and teaching: A phenomenological study of lesbian teachers

The purpose of this phenomenological study was to understand what impact “heteronormativity” has on a lesbian teacher's perception of her instructional style, content, and context of curriculum taught. Through taped interviews with lesbian educators, this research examined the lived experience of the lesbian teacher. The framework for this study included theories related to historical, sociocultural, and psychosocial development while the methodology included a qualitative design using primary elements of a phenomenological study outlined without ignoring the influence associated with contextualism. Due to the sensitive nature of the study nine women who were the focus of this research were volunteers with the first serving as a “gatekeeper” to assist in the pilot study. The subsequent group evolved as a result of “snowballing” to gain more participants. ^ The data in the form of narrative derived from the interviews was transcribed, color-coded, and organized into four themes and associated sub-themes, based upon the perceptions of these educators. These themes characterized the coming out process of a lesbian, which directly paralleled the personal and professional development of the lesbian educator, emerged as a result of the analysis. They included: (a) self-acknowledgement; (b) self-indentification; (c) coming out to other lesbians by overcoming fear and establishing relationships; (d) coming out to others by overcoming heteronormativity by using support groups in defining a lesbian's role as a teacher. ^ The results of this study showed that the acceptance of the lesbian culture, shared with the acknowledgement, rather than compliance or defiance, of cultural hegemony can allow the lesbian educator to develop a curriculum and a classroom climate that will foster understanding and even generate social change among colleagues, parents, and students, one person at a time. ^

A case study of teaching and learning practice in a Chinese adult institution

Résumé: Cette recherche s'est réalisée dans une institution chinoise de formation des adultes. Il existe très peu d'études présentant la pratique de l'enseignement et de l'apprentissage en Chine. Aussi, il semble que cette étude de cas puisse être utile. Elle porte sur le personnel de formation en administration économique dans un centre de formation de Tianjin. Le but premier de cette recherche est de décrire ce qui se fait à cet institut de formation des adultes. Les aspects couverts vont de la sélection du contenu de formation et des modalités d'enseignement jusqu'à la compréhension de l'enseignement et de l'apprentissage. À partir de l'expérience des professeurs de ce centre de Tianjin, cette étude cherche précisément à décrire leurs perceptions et leurs attitudes en regard d'un enseignement centré sur l'apprentissage et développé selon un mode de collaboration. Les fondements théoriques retenus s'inspirent des conceptions andragogiques de Knowles, de celles de Brookfield qui ont trait aux rôles des formateurs et formatrices d'adultes et de Conti qui présente une conception de l'enseignement qui se développe selon un mode de collaboration. Les données sont été retenues à la suite d'interviews et de questionnaires. Ce dernier instrument a été administré à 70 professeurs de formation aux adultes. Les résultats obtenus sont décrits et analysés. Les principaux éléments indiquent que la pratique actuelle de formation des adultes à ce centre de Tianjin ne tient pas compte des principes de l'éducation des adultes présenté selon un mode de collaboration. La formation est centrée sur l'enseignement. Il est à souhaiter que cette recherche contribuera à développer une meilleure compréhension de l'enseignement et de l'apprentissage en Chine tel que perçus par les formateurs et formatrices. Quelques suggestions de recherche complémentaires sont proposées à la fin.||Abstract: The present study grew out of one Chinese adult institute. Relatively few works are available that present a view of what actually happens in Chinese adult teaching and learning practice. Accordingly, it is believed that a case study on Tianjin Institute of Training Economic Management Personnel (TITEMP) which has been working for years in varions forms of adult programs, will be very useful addition to the knowledge of Chinese adult teaching and learning. The primary purpose of the present study is to serve as an introduction to one Chinese adult institute (TITEMP) in terms of characteristics of teaching, including selecting teaching content and teaching pattern, and to expand the understanding of Chinese adult teaching and learning. Based on the experiences of teachers at TITEMP, the study seeks to investigate the issues of teacher's perceptions and attitudes of teaching and learning to obtain implications toward learning-centred and collaborative mode. The theoretical foundations include andragogical conceptions (Knowles), roles of adult teachers (Brookfield), and conceptions of collaborative teaching and learning mode (Conti). The main sources of data are: the interviews and results of the questionnaire. Questionnaire responses from 70 teachers with knowledge of adult teaching and learning are described and interpreted. The general findings of the study are that the existing adult teaching practice at TITEMP does not adequately account for the principles of adult learning in a collaborative mode with adult students. Adult learning is teaching-centred. Some suggestions for further research are offered. It is hoped and believed that this research will contribute to a better understanding of Chinese adult teaching and learning in general, more particularly to the empirical study of the teachers from teaching and learning perspective in a Chinese adult higher learning setting. The research findings will be used as basis for the exploration of Chinese adult teaching.

Farm practices to manage the impact of severe tropical cyclone damage on banana production – a case study from tropical Australia

Most Australian banana production occurs on the north-eastern tropical coast between latitudes 15-18°S, and can experience summer cyclone activity. Damage from severe tropical cyclones has serious impact on banana-based livelihoods. The most significant impacts include immediate loss of production and income for several months, the region-wide synchronization of cropping and the expense of rehabilitating affected plantations. Severe tropical cyclones have directly affected the main production region twice in recent years Tropical Cyclone (TC) Larry (Category 4) in March 2006 and TC Yasi (Category 5) in February 2011. Based on TC Larry experiences, pre- and post-cyclone farm practices were developed to reduce these impacts in future cyclonic events. The main pre-cyclone farm practice focused on maintaining production units and an earlier return to fruit production by partially or completely removing the plant canopy to reduce wind resistance. Post-cyclone farm practices focused on managing the industry-wide crop synchronization using crop timing techniques to achieve a staggered return to cropping by scheduling production to provide continuous fruit supply. With TC Yasi in 2011, some banana producers implemented these practices, allowing them to examine their effectiveness in reducing cyclonic impacts. Additional research and development activities were conducted to refine our understanding of their effectiveness and improve their application for future cyclonic events. Based on these activities and farm-based observations, suggested practice-based management strategies can be developed to help reduce the impact of severe tropical cyclones in the future. Canopy removal maintained banana plants as productive units, and provided earlier but smaller bunches, generating earlier-than-expected income. Queensland producers expressed willingness to adopt canopy removal for future cyclone threats where appropriate, despite its labor-intensiveness. Mechanization would allow larger scale adoption. Implementing a staggered cropping program successfully achieved a consistent, continuous fruit supply after a cyclone impact. Both techniques should be applicable to other cyclone-prone regions.

Competencies Required in Education Research and Teaching Systematization according to Students from the Preschool, Primary and Secondary Education Programs of the University of Costa Rica

The purpose of this paper is to present the results of two online forums carried out with the participation of 42 students of the Licenciaturas  in Preschool Education, Primary Education and Secondary Education of the University of Costa Rica. The main purpose of the forums was to determine the insights of the participant students about the competencies they have achieved in the field of education research, and which have been the essential tools for them to systematize their own teaching practices. The discussion forums were part of the course FD5091 Métodos de Investigación Educativa [Education Research Methods] of the School of Teacher Education, delivered from March-April 2010.  Of the sample, 60 percent were students of the Preschool teaching program, 35 percent were from the Primary Education teaching program and 5 percent were from the Secondary Education teaching program in the fields of Science, Mathematics and Social Studies. According to the insights and beliefs showed by the participants –both, the future teachers and the profession practitioners–, there are no opportunities for research or systematization of their own teaching mediation, in the current work situation.(1) Translator’s Note: In Costa Rica, the “Licenciatura” is a one-year post-Bachelor study program, usually including thesis. “Primary Education” refers to students from the 1st to 6th grades, and “Secondary Education” refers to students from the 7th to 11th grades.