Abstract-A major focus of teaching English Language Learners (ELL) in mathematics classrooms is to provide multiple opportunities for students to use authentic language. Barrier games offer ELLs a balance between productive (speaking, writing) and receptive (listening, reading) language. In a barrier game, students work in pairs to complete an information gap activity where learners are missing the information they need to complete a task and need to talk to each other to find it. With Desmos®' Polygraph program, students are provided online tools for transforming informal language into formal language similar to a Barrier Game. Following a background of barrier games in mathematics, this article will provide a detailed description of Polygraph and its potential for all students to learn and apply authentic mathematical language.
PurposeThis paper aims to report the initial findings of a project aiming to re-establish basic education in conflict-ravaged states in Northeastern Nigeria and to improve education providers' ability to plan and deliver basic educational services. The authors present a preliminary analysis of Nigerian teachers' access to information communication technology (ICT), their technology skills, as well associated national ICT policies.Design/methodology/approachThis case study uses results from two co-designed tools, administered using KoboToolbox to Education Managers in the first instance, and teachers in the second. The data from the tools form the basis for analysis.FindingsIn the first instance, educational managers reported a lack of access to technology, the internet and to training and professional development. In the second instance, teachers reported issues present in the classroom environment, including poor infrastructure, a lack of resources and over-crowded classrooms. Very few teachers had access to computers or to the internet.Research limitations/implicationsThe 33 educational managers represent a small sample size and may not be fully representative of the region covered. The ICT Capacity Audit tool listed Excel in two different areas – basic Excel skills and using Excel for data analysis – which could have caused confusion for participants. The data collection should be repeated, expanded and compared for consistency. For the team, changes to the proposed (SENSE) box content meant that we were not able to deliver low-tech tools, such as Boogie Boards, or high-tech tools, such as tablets, to schools.Originality/valueDespite seemingly insurmountable challenges, the research team identified low-tech tools as a feasible resource in the classroom. Existing tools, such as teachers' smartphones and use of the WhatsApp application, can be used for sharing educational resources and providing teacher training. This paper argues that Nigeria needs up-to-date national ICT policies to guide in-country efforts to develop implementation of information technology initiatives for education.
The purpose of this article is to report on the strategies of secondary mathematics pre-service teachers (PSTs) as they solved conceptually rich problems. Using the Structure of Observed Learning Outcomes by Biggs and C (1982) (SOLO) Taxonomy, 15 PSTs' solutions (in groups of 3 or 4) were analyzed by a panel of three mathematics educators. In addition, the authors studied questions posed by PSTs during their student teaching experiences through video analysis. Questions were then categorized using Crespo's criteria of problem posing. Results showed a significant majority of the problems posed were procedural while PSTs own problem solutions showed a lack of conceptual understanding and depth of knowledge. The authors found the SOLO Taxonomy, together with PSTs scores on the state licensure exam and Crespo's (2003) problem posing practices criteria to be a useful combination of tools to explore connections between PSTs' mathematical and pedagogical content knowledge.
Pre-service mathematics teacher (PST) education often addresses within Geometry Classes how to utilize Dynamic Geometric Software (DGS). Other classes may also incorporate teaching pre-service teachers about the history of mathematics. Although research has documented the use of Dynamic Geometric Software (DGS) in teaching the history of mathematics (HoM) (Zengin, 2018), the focus of this research specifically targets the development of proof for pre-service teachers by utilizing DGS to revisit historical proofs with a modern lens. The findings concur with Fujita et.al. (2010), Zengin (2018), and Conners (2007) work on proof. The novelty of this article was the combination of incorporating the history of mathematics (HoM), dynamic geometry software (DGS), and Toulmin’s model of argumentation. A pedagogical approach appeared to emerge: DGS’s dynamic nature allowed PSTs to see several examples of a method to provide them with an illustration that may be used in proofs.
This study examines the impact of field trip experiences on teachers’ mathematical problem posing. Teachers from a large urban public school system in the Midwest participated in a professional development program that incorporated experiential learning with mathematical problem formulation experiences. During 2 weeks of summer 2011, 68 teachers from eight low-achieving city schools explored city landmarks that were not only accessible to the general public but were also considered rich in mathematical connections. Field trips included museums, historical landmarks, a local airport, and an international sporting event. Following each field trip, teachers were asked to create inquiry-based mathematics problems grounded in these experiences to implement in their classrooms. This article discusses the impact field trips and accompanying professional development activities had on teachers’ ability to create problems that provide students with opportunities to engage in meaningful mathematics.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.