Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

Assessment is a topic of concern to all stakeholders in our educational system. Pattern Based Questions are an assessment tool which is an alternative to the standardized assessment tool, and they are based on generative learning pedagogy, which shows promise in engaging all learners and usefulness in teaching and learning but validity has not yet…

Learning needs to be well planned so that it can take place in accordance with the objectives to be achieved. This planning can be poured into the learning implementation plan (RPP) prepared by the teacher. Therefore, this study aims to describe the competence of prospective chemistry teacher students to prepare lesson plans using a scientific…

In sharing solutions of mathematical tasks, students may use various modes of representation such as: language (oral/written), numerical and symbolic, or drawings (pictures, diagrams or markings). In this paper we explore the potential of student drawings to provide evidence of mathematical fluency. Examples of young students' (5-8 years old)…

Open-ended questions in mathematics are commonly used by teachers to monitor and assess students' deeper conceptual understanding of content. Student answers to these types of questions often exhibit a combination of language, drawn diagrams and tables, and mathematical formulas and expressions that supply teachers with insight into the processes…

Engagement can be described as students' tendency to work productively, think deeply, enjoy and value their learning, and to support each other in the process of learning (ZDM article). Each of these dimensions can be indexed by a variety of psychologically validated constructs such as interest and enjoyment, self-regulation, effort, emotional…

Developing models and using mathematics are two key practices in internationally recognized science education standards such as the Next Generation Science Standards (NGSS, 2013). In this paper, we used a virtual performance-based formative assessment to capture students' competencies at both "developing" and "evaluating"…

Peer assessment has proven to be a useful strategy for increasing the timeliness and quantity of formative feedback, as well as for promoting metacognitive thinking among students. Previous research has determined that reviews that contain suggestions can motivate students to revise and improve their work. This paper describes a method for…

Peer assessment has been widely applied across diverse academic fields over the last few decades, and has demonstrated its effectiveness. However, the advantages of peer assessment can only be achieved with high-quality peer reviews. Previous studies have found that high-quality review comments usually comprise several features (e.g., contain…

Today, talking about educational planning generates a certain vital importance for the achievement of the goals and objectives previously established, as well as the definition of the steps and means necessary to carry out this process. However, we cannot talk about planning without addressing the assessment process as an essential element to…

Technology in education is purposely designed to help both educators and students in knowledge transfer and knowledge gain simultaneously. In many aspects, technology in education is supposed to prove that education can be delivered effectively and efficiently. However, there are cases in which technology in education can be frustrating and…

We report on and validate a system for ranking the cognitive demand of mathematical tasks. In our framework, task rankings are determined by the sequences of units and unit transformations students might use to solve each task. Using this framework, we ranked a set of 10 fractions tasks. We then interviewed 12 pre-service teachers to assess the…

In test equating, one critical equating property is the group invariance property which indicates that the equating function used to convert performance on each alternate form to the reporting scale should be the same for various subgroups. To mitigate the impact of disrupted learning on the item parameters during the COVID-19 pandemic, a…

Since the George Floyd murder in 2020 and Black Lives Matter campaign, there has been increased interest among evaluators and PIs in Diversity, Equity and Inclusion (DEI) in their projects and evaluations. Our previous research showed a lack of clarity in understanding the distinction between the terms in practice and desire to engage with these…

Following the teaching of a unit on mass measurement to 274 children (6 to 8 years of age), each of 13 classroom teachers administered an open-ended assessment task. Children represented their perceived knowledge of mass measurement in response to an "Impress Me" prompt. Drawn and written recordings were complex and multi-dimensional,…