Written Solutions of Mathematical Word Problems

In this action research study of my classroom of ten ninth grade algebra students, I investigated how my students expressed written solutions of mathematical word problems. I discovered that my students writing and performance improved as they experienced different strategies to attack problem solving. These experiences helped improve the confidence of my students in their problem solving skills and in their mathematical writing. I also discovered that my teaching style changed, as my students took on more responsibility for their learning. As a result of this research, I plan to implement problem solving activities in all my classrooms next year. I also plan to have my students develop their written communication skills by presenting their solutions to their problem solving activities in writing.

Calculators in the Classroom: Help or Hindrance?

In a world where technology is ever present and ever changing, is too much technology at too young of an age detrimental to a child’s educational success? The purpose of this paper is to share the results of a four-month study that focused on the use of calculators in grade eight. This study was conducted in an eighth grade class, in a small kindergarten through twelfth grade school. This paper will share the findings of a study of a classroom in which calculator use was limited and mental computation was emphasized. The main focus of this study was whether or not there would be any improvement in the computation skills of my students and how, or if, their problem solving would be affected. As a result of this research project, I plan to permanently limit calculator use in grades seven and eight, as well as to implement a computational review that will be conducted yearly with all of my classes.

Homework: Is There More To It Than Answers?

In this action research study of my two high school geometry classrooms, I investigated the use of homework. By changing the focus on homework away from the answers to the process involved in getting the answers, I found that students felt more confident, utilized their class time better, and placed more effort on complex problems. Their questions also became more specific and more effective for finding gaps in their understanding. As a result of this research, I plan to change my strategy in the practice of homework. I will give students the answers on multi-step problems to allow them the opportunity to utilize problem solving and critical thinking skills to gain practice in autonomous learning.

Improving Student Engagement and Verbal Behavior Through Cooperative Learning

In this action research study of my classroom of 10th grade Algebra II students, I investigated three related areas. First, I looked at how heterogeneous cooperative groups, where students in the group are responsible to present material, increase the number of students on task and the time on task when compared to individual practice. I noticed that their time on task might have been about the same, but they were communicating with each other mathematically. The second area I examined was the effect heterogeneous cooperative groups had on the teacher’s and the students’ verbal and nonverbal problem solving skills and understanding when compared to individual practice. At the end of the action research, students were questioning each other, and the instructor was answering questions only when the entire group had a question. The third area of data collection focused on what effect heterogeneous cooperative groups had on students’ listening skills when compared to individual practice. In the research I implemented individual quizzes and individual presentations. Both of these had a positive effect on listing in the groups. As a result of this research, I plan to continue implementing the round robin style of in- class practice with heterogeneous grouping and randomly selected individual presentations. For individual accountability I will continue the practice of individual quizzes one to two times a week.

Improving Student Engagement and Verbal Behavior Through Cooperative Learning

In this action research study of my classroom of 10th grade Algebra II students, I investigated three related areas. First, I looked at how heterogeneous cooperative groups, where students in the group are responsible to present material, increase the number of students on task and the time on task when compared to individual practice. I noticed that their time on task might have been about the same, but they were communicating with each other mathematically. The second area I examined was the effect heterogeneous cooperative groups had on the teacher’s and the students’ verbal and nonverbal problem solving skills and understanding when compared to individual practice. At the end of the action research, students were questioning each other, and the instructor was answering questions only when the entire group had a question. The third area of data collection focused on what effect heterogeneous cooperative groups had on students’ listening skills when compared to individual practice. In the research I implemented individual quizzes and individual presentations. Both of these had a positive effect on listing in the groups. As a result of this research, I plan to continue implementing the round robin style of in- class practice with heterogeneous grouping and randomly selected individual presentations. For individual accountability I will continue the practice of individual quizzes one to two times a week.

Reasonable or Not? A Study of the Use of Teacher Questioning to Promote Reasonable Mathematical Answers from Sixth Grade Students

In this action research study of my sixth grade mathematics class, I investigated the influence a change in my questioning tactics would have on students’ ability to determine answer reasonability to mathematics problems. During the course of my research, students were asked to explain their problem solving and solutions. Students, amongst themselves, discussed solutions given by their peers and the reasonability of those solutions. They also completed daily questionnaires that inquired about my questioning practices, and 10 students were randomly chosen to be interviewed regarding their problem solving strategies. I discovered that by placing more emphasis on the process rather than the product, students became used to questioning problem solving strategies and explaining their reasoning. I plan to maintain this practice in the future while incorporating more visual and textual explanations to support verbal explanations.

All the World's a Stage: Reaching English Language Learners through Drama

The use of drama with language instruction has long been considered a legitimate practice. A recent survey of the literature shows that English Language Learners (ELLs) may have even more to benefit from the use of drama in the classroom. Studies showed an increase in language and problem-solving ability, as well as student self-efficacy that was transferrable across activities. Following an analysis of the literature is a proposed curriculum based on the findings of the researchers cited. This unit is centered on dramatic activities that make use of all four language domains and includes the examination of plays in writing, on the stage, and as a playwright. In the end, students will be asked to combine all of their skills to put on a completely student-created production. An analysis of the factors surrounding the implementation of such a unit follows the unit itself.

A Resolução de problemas no ensino de matemática

The Troubleshooting is a methodology that stands out in mathematics teaching, it provides a meaningful learning, favoring the intellectual development of the student and the autonomous and critical thinking. In this work an exploratory study on the use of Problem Solving as a teaching strategy. Along it is discussed the importance of problem solving, which is a problem and their differences for years, the types of problems, how to solve a problem and as a teacher should apply problem solving in the classroom choosing problems and exercises adequate and properly questioning the student

Influência da cultura organizacional na implementação de um programa de melhoria contínua de uma empresa de grande porte

The objective of this study was to identify the facilitators and restrictive factors promoted by the organizational culture on the implementation of a continuous improvement program in a company. The influence of organizational culture on tools used to improve processes and results demonstrate critical factors for international competitiveness, reflecting a company's strategy. Depending on how new working methods are implemented, organizational changes to reduce variation and waste, such as lean production, can affect the employee experience in the workplace and their learning conditions. Changes and formalization of the work process can be coercive, characterized by forced compliance, introduction of rules, and focus on technical and financial methods; or may be favorable, encouraging employee involvement in problem solving and stressing learning and innovation. The basis of the analysis lies with two models for assessing organizational culture - Denison Model and Competing Values Framework. The methodology used was: conducting interviews, a questionnaire, literature review and documentary analysis of a large company equipment industry. Results suggest that organizational culture plays an important role in the adoption of Lean practices. It can contribute to its effectiveness and job satisfaction, but it is not decisive feature of their success. The conclusion is that the organizational culture becomes a driving factor when aligned to the proposed practices and when taken into consideration for planning, acting as a limitation when it does not promote development and a participative environment

Metodologias de Inovação: Soluções da TRIZ aplicadas em um ambiente design thinking

This work discusses the theories of TRIZ and Design Thinking, as well as the association of the two theories by a tool for the application of TRIZ in a Design Thinking environment. This work proposes the association of the theories by an easy and systematic method constituted by a step by step process. The objective of this work is to create a method that facilitates the application of the two innovation theories helping the inventors to develop new products without the necessity of being creative people. By the end of the work is shown the research case accomplished as an empirical analysis of this tool that can be a fast and efficient method to solve inventive problems focused in the expectations and necessities of the clients

Means to an end: Neotropical parrots manage to pull strings to meet their goals

Although parrots share with corvids and primates many of the traits believed to be associated with advanced cognitive processing, knowledge of parrot cognition is still limited to a few species, none of which are Neotropical. Here we examine the ability of three Neotropical parrot species (Blue-Fronted Amazons, Hyacinth and Lear`s macaws) to spontaneously solve a novel physical problem: the string-pulling test. The ability to pull up a string to obtain out-of-reach food has been often considered a cognitively complex task, as it requires the use of a sequence of actions never previously assembled, along with the ability to continuously monitor string, food and certain body movements. We presented subjects with pulling tasks where we varied the spatial relationship between the strings, the presence of a reward and the physical contact between the string and reward to determine whether (1) string-pulling is goal-oriented in these parrots, (2) whether the string is recognized as a means to obtain the reward and (3) whether subjects can visually determine the continuity between the string and the reward, selecting only those strings for which no physical gaps between string and reward were present. Our results show that some individuals of all species were able to use the string as a means to reach a specific goal, in this case, the retrieval of the food treat. Also, subjects from both macaw species were able to visually determine the presence of physical continuity between the string and reward, making their choices consistently with the recognition that no gaps should be present between the string and the reward. Our findings highlight the potential of this taxonomic group for the understanding of the underpinnings of cognition in evolutionarily distant groups such as birds and primates.

Alternative Tasks for the Teaching and the Learning of functions: analysis of an intervention in the High School

In this paper we focus on the application of two mathematical alternative tasks to the teaching and learning of functions with high school students. The tasks were elaborated according to the following methodological approach: (i) Problem Solving and/or mathematics investigation and (ii) a pedagogical proposal, which defends that mathematical knowledge is developed by means of a balance between logic and intuition. We employed a qualitative research approach (characterized as a case study) aimed at analyzing the didactic pedagogical potential of this type of methodology in high school. We found that tasks such as those presented and discussed in this paper provide a more significant learning for the students, allowing a better conceptual understanding, becoming still more powerful when one considers the social-cultural context of the students.

Modelling Mathematical Reasoning in Physics Education

Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

Coping Style and Depressive Symptomatology during Pregnancy in a Private Setting Sample

Aim: to evaluate the association of antenatal depressive symptomatology (AD) with life events and coping styles, the hypothesis was that certain coping strategies are associated to depressive symptomatology. Methods: we performed a cross sectional study of 312 women attending a private clinic in the city of Osasco, Sao Paulo from 27/05/1998 to 13/05/2002. The following instruments were used: Beck Depression Inventory (BDI), Holmes and Rahe Schedule of Recent Events (SSRS), Folkman and Lazarus Ways of Coping Questionnaire and questionnaire with social-demographic and obstetric data. Inclusion criteria: women with 110 past history of depression, psychiatric treatment, alcohol or drug abuse and no clinical-obstetrical complications. Odds ratios and 95% CI were used to examine the association between AD (according to BDI) and exposures variables. Hypothesis testing was done with chi(2) tests and a p value < .05. Results: AD occurred in 21.1% of pregnant women. By the univariate analyses, education, number of pregnancies, previous abortion, husband income, situation of marriage and score of SSRS were associated with AD. All coping styles were associated with AD, except seeking support and positive reappraisal. By the multivariate analyses, four coping styles were kept in the final model: confront (p = .039), accepting responsibility (p < .001), escape-avoidance (p = .002), problem-solving (p = .005). Conclusions: AD was highly prevalent and was associated with maladaptive coping styles.

Intervenções psicoeducacionais para cuidadores de idosos com demência: uma revisão sistemática

OBJETIVO: Identificar modelos de intervenções psicoeducacionais e os seus efeitos em cuidadores de idosos com demência. MÉTODOS: Levantamento de estudos publicados entre janeiro de 2000 e abril de 2012 nas bases de dados PubMed, Web of Knowledge, Lilacs e SciELO, utilizando as seguintes palavras-chave "psychoeducational and caregiver", "cuidador e demência e psicoeducação" e "cuidador e intervenção". Apenas os artigos que denominavam a intervenção estudada como psicoeducação fazem parte do presente estudo. RESULTADOS: Foram encontrados 27 artigos com relatos acerca do impacto de intervenções psicoeducacionais em cuidadores de idosos com demência. Os resultados mais prevalentes desses estudos são: melhora do bem-estar dos cuidadores (37% dos estudos); aumento do uso de estratégias de enfrentamento (30%); diminuição de pensamentos disfuncionais (30%); aumento do conhecimento sobre os serviços disponíveis (19%); melhora da autoeficácia (15%); e aumento de habilidades para o cuidado (11%). A abordagem psicoeducacional descrita nos estudos é do âmbito informativo, cognitivo-comportamental, com técnicas de gerenciamento de estresse e de emoções; técnicas de resolução de problemas e apoio emocional. CONCLUSÃO: A intervenção psicoeducacional contribui significativamente para a melhora do bem-estar do cuidador, contudo ainda é necessária uma padronização dessa abordagem, em termos de estrutura, duração e conteúdos ministrados, para que haja evidências mais precisas do efeito desse tipo de intervenção.