The effects of teaching a mathematics problem solving strategy on the problem solving ability of grade nine students

Forty grade 9 students were selected from a small rural board in southern Ontario. The students were in two classes and were treated as two groups. The treatment group received instruction in the Logical Numerical Problem Solving Strategy every day for 37 minutes over a 6 week period. The control group received instruction in problem solving without this strategy over the same time period. Then the control group received the treat~ent and the treatment group received the instruction without the strategy. Quite a large variance was found in the problem solving ability of students in grade 9. It was also found that the growth of the problem solving ability achievement of students could be measured using growth strands based upon the results of the pilot study. The analysis of the results of the study using t-tests and a MANOVA demonstrated that the teaching of the strategy did not significaritly (at p s 0.05) increase the problem solving achievement of the students. However, there was an encouraging trend seen in the data.

Codeship: Financing growth: Case study and Teaching note

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Management from the NOVA – School of Business and Economics

Valoraciones de alumnos universitarios sobre los conceptos matemáticos

El proyecto, de dos años de duración, tiene como finalidad la elaboración de materiales que ayuden a los alumnos en el aprendizaje de los conceptos matemáticos en la etapa de Bachillerato hasta la Universidad, ya que es en esta etapa cuando más carencias dicen tener los alumnos y donde más transferencia tiene que producirse de unos estudios a otros. Como paso previo queríamos asegurarnos de las necesidades que planteaban dichos alumnos, estudio y análisis que vamos a reflejar en el presente trabajo

Early Childhood Mathematics Education: Research, Curriculum and Educational Practice

This article reviews data obtained through research into early childhood mathematics education in Spain. It analyses the current curricular directions in mathematics education with early learners. It also provides an overview of mathematical practices in early childhood education classrooms to analyse the commonalities and differences between research, curriculum and educational practice. A review of the research presented at SEIEM symposia from 1997 until 2012 demonstrates: a) very little research has been done, a trend that is repeated in other areas, such as the JCR-Social Sciences Edition or the PME; b) the first steps have been taken to create a more and more cohesive body of research, although until now there has not been enough data to outline the curricular directions; and c) some discrepancies still exist between the mathematical practices in early childhood education classrooms and the official guidelines

Coneixement lingüístic i matemàtic d'escolars de nivel sociocultural baix en programes d'immersió = Linguistic and mathematic knowledge in pupils of low sociocultural level in immersiom programmes

This piece of research compares knowledge of Catalan, Castilian and mathematics, as well as the attitudes to these two languages, of a sample of non-Catalan speaking pupils of low sociocultural level in their fourth year of primary school. Some of the pupils had followed an immersion programme in Catalan, whereas others had approached Catalan through their habitual language (Castilian). The findings show that not only did the immersion pupils obtain significantly better results in L2 (Catalan), but their mother tongue (Castilian) competence was undiminished and their performance on the mathematics test was superior to that of the other group. Moreover, the findings indicate that in pupils starting out from less favourable conditions (a low sociocultural level and a low I.Q.) the effect of the educational approach variable is greater than in other cases

'L’escriptura del jo', una proposta d’educació intercultural i tractament de la diversitat per a l’ensenyament secundari obligatori = The writing of I, an intercultural educational proposal and treatment of diversity for Compulsory Secondary Education

The writing of I is a project that starts an itinerary through past, present and future experiences of each of our students based on following research activities. Reading, creation and recreation of text and other items that turn essentially around autobiographical writing and culminate with the elaboration of a free autobiography

Del papel a la pantalla y del aula a la nube: ideas para dinamizar la expresión escrita en secundaria = From paper to the screen and from the classroom to the cloud: ideas to energise written expression at secondary level

The spread of sociocultural focuses and critical literacy studies, which offer an holistic perspective on communicative skills, has reached our country at a time when the commonest environment for writing is the internet, and information technologies have transformed writing with new channels, genres, forms of preparation and languages. Thanks to these changes, educational programmes now include new concepts of literacy related to knowledge and the use of digital environments. This paper explores the impact of introducing these new communicative environments to teaching written expression at secondary level and puts forward some ideas to link learning how to write to present communicative contexts and established practices. Without forgetting the achievements of recent decades, we need to bring about a series of changes to bring new learned writing practices to class and leave behind others we had championed as necessary when the goal was to move beyond exclusively linguistic or grammatical approaches

Una visión actualizada de la didáctica de la matemática en educación infantil = An up-to-date vision of pre-school mathematics teaching

This article aims to investigate pre-school mathematics teaching from an uptodate perspective. To pursue this contemporary vision we focus on four key questions: what kind of maths is being worked on, who is doing it, how it is being done, and why it is being done

Changes in education and student-centred learning as related to senior secondary school English

The main purpose of this thesis is to t r ace broadly the educational changes in the past two decades showing a shift of emphasis from a teacher-directed, content-centred philosophy of teaching to a self-directed, student-centred mode of learning. The major justification for an Independent or an Individualized Learning programme with emphasis on "the response to literature approach" is 2 to produce the independent learner. Comprehensive r eading and t he use of t he ERIC system reveal widespread educational thought and practice related t o Individualization and Independent Study as a really democratic way of learning with freedom, independence and responsibility.

The impact of integrated programming on student attitude and achievement in grade 9 academic mathematics and science

This research studioo the effect of integrated instruction in mathematics and~ science on student achievement in and attitude towards both mathematics and science. A group of grade 9 academic students received instruction in both science and mathematics in an integrated program specifically developed for the purposes of the research. This group was compared to a control group that had received science and mathematics instruction in a traditional, nonintegrated program. The findings showed that in all measures of attitude, there was no significant difference between the students who participated in the integrated science and mathematics program and those who participated in a traditional science and mathematics program. The findings also revealed that integration did improve achievement on some of the measures used. The performance on mathematics open-ended problem-solving tasks improved after participation in the integrated program, suggesting that the integrated students were better able to apply their understanding of mathematics in a real-life context. The performance on the final science exam was also improved for the integrated group. Improvement was not noted on the other measures, which included EQAO scores and laboratory practical tasks. These results raise the issue of the suitability of the instruments used to gauge both achievement and attitude. The accuracy and suitability of traditional measures of achievement are considered. It is argued that they should not necessarily be used as the measure of the value of integrated instruction in a science and mathematics classroom.

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

Treatise on mathematics and astronomy: written about the year 1680, in Boston

Bound volume containing a late 17th century handwritten mathematical and astronomical text in one hand. The text is separated into mathematical and astronomical sections with rules, instructions for performing calculations, tables, and drawings. The subjects include arithmetic, geometry, astronomy, and trigonometry, and segments have titles such as "Subtraction," "A decimal table of English coince," "Logarithes & their use," and "To find the true place of the sun." The text is undated and unattributed but references Briggs, Oughtred, Ramus, and Apollonius. Certain tables are calculated from latitudinal and longitudinal numbers associated with Boston, and many of the examples use dates in the 1670s and 1680. The manuscript pages are mounted onto unruled pages, and some of the manuscript pages are fragments.

A virtual mathematics learning environment for engineering students

Teachers of the course Introduction to Mathematics for Engineers at the UOC, an online distance-learning university, have designed,developed and tested an online studymaterial. It includes basic pre-university mathematics, indications for correct follow-up of this content and recommendations for finding appropriate support and complementarymaterials. Many different resources are used,depending on the characteristics of thecontents: Flash sequences, interactive applets, WIRIS calculators and PDF files.During the last semester, the new study material has been tested with 119 students. The academic results and student satisfaction have allowed us to outline and prioritise future lines of action.