In this study, we explored enacted task characteristics (ETCs) that supported students' quantitative reasoning (QR). We employed a design-based methodology; we conducted a teaching experiment with eight secondary school students. Through ongoing and retrospective analyses, we identified ETCs which supported students' quantitative reasoning. The…

In this research, we use a process data analysis approach to gather additional evidence about students' argumentation skills beyond their performance scores in a computer-based assessment. This game-enhanced scenario-based assessment (named Seaball) included five activities that require students to demonstrate their argumentation skills within a…

To test the hypothesis that a higher tendency to "s"pontaneously "f"ocus "o"n "m"ultiplicative "r"elations (SFOR) leads to improvements in rational number knowledge via more exact estimation of fractional quantities, we presented sixth graders (n = 112) with fraction number line estimations and a…

This project aimed to develop an engaging formative assessment that simulates the social and dialogic processes that are often missing in traditional instruction and assessment of argumentation. In this article, we describe the design of an argumentative reasoning task within a scenario-based assessment enhanced with game elements…

We compared high school students' performance in a traditional comprehension assessment requiring them to identify key information and draw inferences from single texts, and a scenario-based assessment (SBA) requiring them to integrate, evaluate and apply information across multiple sources. Both assessments focused on a non-academic topic.…

In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…

The authors who are mathematics teacher educators, have found that classifying, composing, and transforming shapes (in particular, rotations and reflections) are areas of difficulty for adults as well as for children. However, these are also some of the most important geometric ideas. They are fundamental topics in the K-8 Geometry and Measurement…

ELLs need to engage with topics and situations in the classroom that equip them with the social, professional and civic cultural skills to address real-life interactions for their present realities, as well as their future realities (American, 2009, Garett, 2005; Perez & Morrison, 2016). Teachers face the challenge of balancing conventional…

Written examinations represent one of the most common assessment tools in education. Though typically perceived as measurement instruments, written examinations are primarily texts that perform a communicative function. To complement existing research, this study viewed written examinations as a distinct form of communication (i.e. 'register').…

The study aims to explore in-service teachers' epistemological beliefs about the following five critical paradigms in second language education and their corresponding practices: (1) inductive/deductive grammar instruction, (2) intensive/extensive reading, (3) looking up unknown words in the dictionary/guessing from context, (4) focusing on…