Students, even as young as kindergarten, are natural problem solvers (Carpenter et al., 2017). Even before they learn to count, they can make sense of mathematical problems and real- world situations (National Council of Teachers of Mathematics, 2022). Kindergartners can make sense of complex story problems, including Separate Start Unknown…

Full-information item analysis provides item developers and reviewers comprehensive empirical evidence of item quality, including option response frequency, point-biserial index (PBI) for distractors, mean-scores of respondents selecting each option, and option trace lines. The multi-serial index (MSI) is introduced as a more informative…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

In this work, we consider learning analytics for primary and secondary schools from the perspective of the designer of a learning system. We provide an overview of practically useful analytics techniques with descriptions of their applications and specific illustrations. We highlight data biases and caveats that complicate the analysis and its…

Even before the release of the National Council of Teachers of Mathematics (NCTM)'s Principles to Actions (2014), teachers paid significant attention to mathematics tasks based on their positive influence on student learning (Doyle, 1988; Kazemi, 1998; NCTM, 1989, 2000). Over the last almost quarter century, we have learned a lot about high-level…

Let's say you are a Grades 3-5 teacher in search of an activity sheet on different fraction notations. A search in May 2022 on the popular resources sharing site TeachersPayTeachers (TpT) yielded 2,832 results, 105 of which were free. With so many options, how would you go about choosing a resource for your students? What would factor into your…

The field of science education has put effort into providing opportunities for students to position themselves as epistemic agents pursuing the goal of making sense of natural phenomena. However, students often struggle in adapting scientific practices to achieve the sense-making goal. In this position paper, we conceptualise students'…

Foundation and Year 1/2 teachers at Saint Martin de Porres Primary School, a Catholic School in Laverton, Melbourne have been collaborating with a team of researchers from Monash University on a four-year project led by Professor Peter Sullivan and colleagues. The teachers have been trialling and implementing a series of lesson sequences as part…

Much of the attention given to literacy, of late, has focused on ensuring that students can read, without consideration to what they are given to read. Kristin Conradi Smith & Elfrieda H. Hiebert discuss four general aspects of the texts used in elementary classrooms -- text complexity, text type (narrative versus informational), text format…

Providing students the autonomy and choice to learn when productive struggle becomes unproductive is a core teaching belief in the author's classroom. The author teaches in a multiage classroom where he has 16 first- and second-grade students, ages 6, 7, and 8. Like other educators, he believes in the importance of productive struggle. The author…

Learning to write is a complex process and children have to orchestrate a range of processes and skills in order to produce written messages. Young children are facing increasing demands in terms of the expected complexity of their written messages in education settings across the world. Teachers, in turn, are challenged to support children and…

While the development of creativity, or creative thinking, in mathematics is considered important by many researchers, there are several difficulties in implementing creative tasks, especially before secondary school. Within the original context of a mathematical escape game, this paper reports two episodes exemplifying the difficulties met by…

Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…

This collaborative inquiry between an academic (James Russo) and two school-based practitioners (Jessie McCosh and Travis Hewish) explores student attitudes towards learning mathematics through problem solving in a medium sized primary school in regional Victoria.

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. The NAEP assessment in mathematics has two components that differ in purpose. One assessment measures long-term trends in achievement among 9-, 13-, and 17-year-old students by using the same basic design each time.…