The Impact of First Computer Encounters on Mathematics Teachers’ Computer Competence

ABSTRACT

Twenty‐seven United Kingdom teachers of secondary mathematics were interviewed about information technology (IT) and its influence on their teaching of mathematics. A common factor to emerge was the nature of their first experience of computers and the impact it had on their subsequent professional activity. The analysis identified four ways in which teachers first encountered computers; as learners at school, university or colleges of education, as teachers undertaking in‐service training, as self‐taught adult learners, or as employees or researchers engaged in computer‐based activity prior to becoming teachers. A significant issue to emerge was that similar initial encounters are likely to have different and lasting professional consequences depending on the persons involved and their perceptions of mathematics, computers, the relationship between the two, and a range of other personal and institutional factors. Some implications for both pre‐service and in‐service training are discussed.     

Preparing Teachers’ to Raise Students’ Mathematics Learning

The purpose of this study was to investigate the effectiveness of the ORIGO Stepping Stones program in a large suburban school district in the Midwestern U.S.. The sample included 11 elementary schools that implemented the program during the 2013–2016 school years. Findings are presented from teacher surveys, classroom observations, and analysis of standardized student mathematics achievement scores on the Northwest Evaluation Association Measurement of Academic Progress (NWEA MAP). Using multilevel models, the program did not demonstrate a detectably larger effect on mathematics achievement than the comparison. Classroom observations and views of teachers that support program implementation were explored. In terms of fidelity of implementation, findings suggested that the program was delivered differently from how it was intended. With respect to researchers and policymakers, the approach used to evaluating mathematics program effectiveness is informative and could be used as part of larger accountability systems.     

Computer‐Assisted Instruction and Conceptual Change

Abstract

In this study, the question was addressed which instructional conditions are required to teach students how they themselves can initiate and perform learning activities aimed at conceptual change. The CONTACT‐2 strategy (a computer‐assisted instructional strategy for promoting conceptual change in the domain of basic physical geography) served as starting point for the design of several training procedures aimed at enhancing self‐regulated learning. With the first experimental condition, strategic support was gradually withdrawn ('faded') within each instructional step, while, with the second experimental condition, the number of steps was reduced as the training continued. The original CONTACT‐2 condition served as control condition. Subjects were 65 fifth‐ and sixth‐graders (primary education). Dependent variables concerned students’ abilities to initiate and perform learning activities aimed at conceptual change, the quality of their conceptions, and their learning performance. Results suggested that ‘fading’ can be a fruitful instructional approach to foster self‐regulated learning aimed at conceptual change, provided that the ‘fading’ procedure is tuned to the students’ actual level of self‐regulated learning: external control should not be withdrawn until students are able (and prepared) to initiate and perform the learning activities being required. When these conditions are met, designing effective training procedures aimed at ‘learning for conceptual change’ seems possible.     

Introducing Computer‐based Learning

Education and Training are adapting cautiously and clumsily to incorporate computer‐based learning. Potential benefits of CBL are enormous. It is possible, now, to produce a framework for successful development, requiring collaboration between computer manufacturers, professional trainers and teachers, institutions and national agencies. Diana Laurillard of the Open University Institute of Educational Technology (and currently Visiting Fellow at the University of Melbourne) offers such a framework.     

A Mathematics Teachers’ Perspective and its Relationship to Practice

In this paper we try to characterize the pedagogical approaches that mathematics teachers are developing to meet the challenges posed by education reforms. A key aspect is the identification of the perspectives that underlie those pedagogical approaches, using the term perspective to include a broad pedagogical structure composed of multiple conceptions that are related to some aspects of a teacher’s practice. Through the study of the practice of a secondary mathematics teacher, we try to explore how his/her pedagogical approaches on mathematics, mathematics learning, and mathematics teaching are related to the relational architecture that is established in the classroom during the development of an instructional unit of similarity at a secondary school level, and we examine if that relationship can be explained in terms of the underlying perspective. The results of the study have shown the characteristics of that relationship, and the important role that the teacher’s knowledge of the students’ difficulties plays both in making decisions and in developing the teachers’ actions.     

Supporting Kindergarten Teachers’ Mathematics Instruction and Student Achievement Through a Curriculum-Based Professional Development Program

This study investigates the impacts of a year-long professional development program on Kindergarten teachers’ beliefs and practices and the association of these changes with student achievement in mathematics measured by curriculum-based instruments. Although teacher content knowledge was not statistically significantly different before and after participation in the program, changes in teachers’ beliefs and practices were both noticed: a trend towards discovery/connectionist orientation and student-centered practices. Teachers’ gain scores on a measure of mathematics content knowledge was positively related to the linear growth rate of student achievement.     

The Influence of Teachers’ Efficacy and Beliefs Regarding Mathematics Instruction in the Early Childhood Classroom

This was a correlational study conducted with a population of prekindergarten educators from a large, metropolitan school district. The purpose was to examine if there were relationships between and among early childhood teachers’ sense of self-efficacy, their beliefs about the importance of mathematics, and their mathematics instructional practices. Examining teachers’ efficacy and beliefs can inform educational practice and help to differentiate between more and less successful instructional practices when teaching mathematics in the early childhood classroom. Data were collected on teacher efficacy and teacher beliefs about the importance of mathematics with two self-report questionnaires. The hypothesis that the teachers higher in efficacy will rate the importance of mathematics higher on the teacher-belief scale than the teachers with lower efficacy was found to be true with this sample, but the correlation was weak. The level of efficacy of the early childhood teachers in this sample confirmed that in assessing their capabilities, they rate themselves high in instructional strategies, classroom management, and student engagement. The early childhood teachers did not rate their belief in mathematics as high as their efficacy. Observations of mathematics instructional practices were conducted with twenty teachers. It was hypothesized that the combination of high teacher efficacy and high teacher mathematics beliefs would show alignment with the presence of standards-based mathematics instructional practices. The results were not statistically significant. No correlation signals a need for more research to explore what other personal or external factors relate to mathematics instructional practices in the early childhood classroom. The research may inform pre kindergarten teachers and teacher educators about effective instructional strategies and knowledge needed to launch early childhood students on a developmentally appropriate pathway to mathematical literacy.     

Students’ and Teachers’ Perceptions of Using Video Games to Enhance Science Instruction

Science education video game research points toward promising, but inconclusive results in both student learning outcomes and attitudes. However, student-level variables other than gender have been largely absent from this research. This study examined how students’ reading ability level and disability status are related to their video game-playing behaviors outside of school and their perceptions about the use of science video games during school. Thirty-four teachers and 876 sixth- through ninth-grade students from 14 states participated in the study. All student groups reported that they would prefer to learn science from a video game rather than from traditional text, laboratory-based, or Internet environments. Chi-square analyses indicated a significant association between reading ability level, disability status, and key areas of interest including students’ use of video games outside of school, their perceptions of their scientific abilities, and whether they would pursue a career in the sciences. Implications of these findings and areas for future research are identified.     

Constructivism in Mathematics Classrooms: Listening to Ghanaian Teachers’ and Students’ Views

One of the challenges of implementing a new curriculum is how to bridge the gap between the underlining principles of the curriculum and the cultural and social orientations of the society which includes teachers and students. This article reports on a study that explored how the cultural and social orientations of teachers and students can influence the implementation of a constructivist curriculum in mathematics classrooms. The data for the study came from 250 students and 41 mathematics teachers, using questionnaires, observations, and interviews. The results showed that inasmuch as mathematics teachers and their students acknowledge the importance of student’s active participation and teamwork, these practices have not been fully conceptualised into the Ghanaian mathematics classroom due to some cultural factors. Two main cultural factors were discovered from the analyses of the results. Firstly, the culture of acknowledging only correct answers in class has a negative impact on individual students’ confidence and participation during mathematics lessons. Also, the culture of teamwork is not fully accepted within Ghanaian classrooms as most students find it difficult working in groups and accepting and appreciating each other’s view. It was evident in all lessons that students were ridiculed by their peers when they provide a wrong answer to a question and this affected individual students’ participation in the classroom. Therefore, we suggested that teachers should be pro-active in promoting a classroom environment which is free from fear and intimidation to motivate students to be actively involved in the classroom discourse.     

Computer‐based Monitoring of Rivers ‐ A Contribution to Ecological Action

Abstract

While people are beginning to know a lot about major ecological effects, little is being done individually to try to counter them. The article looks at various studies and their effects within the European Union.

     

Teaching as Interaction: Challenges in Transitioning Teachers’ Instruction to Small Groups

Although small group instruction is often endorsed in teaching young children, teachers are rarely given explicit instruction on how to move instruction into small groups where effective adult-child interactions can take place. This study examines how 14 early childhood educators transitioned their instruction from whole to small group teaching after participating in a year-long program of professional development. The results indicate teachers’ previous definitions of “teaching as dissemination” interfered with their ability to take on new roles, design tasks, and manage time. Implications include the need for teacher educators to focus on how teaching through interaction shifts these aspects of the teaching process.     

Investigating the Alignment of Bhutanese Mathematics Teachers’ Planned Approaches Within the Context of a Reformed Curriculum

Reform of mathematics education has been in focus in many countries including those in major economic transition. This paper reports a segment of a study which was conducted in Bhutan, where a reformed elementary mathematics curriculum has been recently introduced. The reformed curriculum is based on social constructivism and its design has been influenced by the USA’s National Council of Teachers of Mathematics (NCTM) standards. This paper reports upon the planned teaching of a sample of elementary (primary) teachers in their implementation of the reformed curriculum. The data for this part of the investigation were aggregated from a qualitative survey of randomly selected elementary school teachers (N = 72) from 40 schools across the country. A set of 3 analytical rubrics, based on intentions embedded in the curriculum, was developed to analyse the alignment of teachers’ planned sample learning activities with the intentions of the curriculum. Our conclusions are that while the curriculum’s intentions might be meaningfully stated in the curriculum documents, implementation remains problematic because there appears to be a mis-alignment between curriculum intentions and classroom practices. For instance, teachers by not adopting evidence-based approaches recommended in the curriculum document and are continuing to deny students opportunities to achieve deep understanding in achieving national priorities. This paper also argues that the proposed analytical rubrics may be of value for Bhutanese mathematics educators and, with minor modification, educators in other contexts, as they critique planned and actual practices.     

Pre-Service Teachers’ Views of School-Based Approaches to Pre-Service Primary Science Teacher Education

Primary pre-service teachers (PSTs) in Australia often have low confidence and negative experiences in relation to science and teaching science. This paper reports on pre-post survey data produced by four institutions involved in a multi-institutional project exploring the use of university-school partnerships for primary science teacher education. The findings show that the experience of engagement in school-based science teaching contributed to the development PST classroom readiness particularly with respect to statistically significant increases in confidence. We argue that moving tutorials from university into schools supports PSTs’ engagement with the teaching profession and teaching science.     

Preservice Teachers’ Conceptions and Enactments of Project-Based Instruction

We present results of an investigation of preservice secondary mathematics and science teachers’ conceptions of project-based instruction (PBI) and their enactments of PBI in apprentice (student) teaching. We evaluated their thinking and implementations within a composite framework based on the work of education researchers. We analyzed survey responses, both qualitatively and statistically, from three cohorts of preservice teachers both before and after apprentice teaching. In addition we interviewed and observed a subset of these future teachers. We found that in general the preservice teachers held superficial views of PBI, as compared to the researcher framework. Participants reported time and curriculum restrictions as major barriers; however, teachers for whom enactment of PBI was presented as an explicit goal, and who were given support toward that end, were more likely to enact authentic implementations, regardless of previous reservations about PBI. Without this additional scaffolding, even teachers with high affinity for PBI were unlikely to implement it authentically.     

Work‐to‐School Mentoring: Childcare Center Directors and Teachers’ Return to School

As supervisors of preschool teachers, childcare center directors are well‐situated to mentor their staff to pursue higher education. Telephone interviews with 78 directors examined their role as mentors in encouraging preschool teachers to take college classes. Educational mentoring was shown to be distinct from career mentoring. Logistic regressions showed that the director’s educational mentoring of teachers and teachers’ aides was associated with greater college attendance, whereas career mentoring was related to less attendance. Furthermore, the director’s confidence staff members’ ability to complete an Associate’s degree promoted college enrollment. Finally, some directors appeared to be transformational leaders who created an education‐friendly climate for their entire staffs. These findings suggest that the workplace is an under‐researched, critical context for work‐to‐school mentoring.     

Teachers as Facilitators in a Computer‐supported Learning Environment

ABSTRACT

This paper argues that teachers in this technology‐rich era have a new role to play in their classrooms. As a knowledge facilitator, rather than a knowledge presenter, the job of the teacher is to create a computer‐ supported learning environment where learners are encouraged to think critically and creatively and to develop personal ownership and appreciation of the knowledge constructed. Classroom examples are given in this paper to provide evidence that the teacher's role is crucial in a successful computer‐ based learning environment. The implications of computer‐supported learning environments to teacher development and education are also discussed.