Knowledge components (KCs) have many applications. In computing education, knowing the demonstration of specific KCs has been challenging. This paper introduces an entirely data-driven approach for: (1) discovering KCs; and (2) demonstrating KCs, using students' actual code submissions. Our system is based on two expected properties of KCs: (1)…

As students learn how to program, both their programming code and their understanding of it evolves over time. In this work, we present a general data-driven approach, named "Temporal-ASTNN" for modeling student learning progression in open-ended programming domains. Temporal-ASTNN combines a novel neural network model based on abstract…

Worked examples, which present an explained code for solving typical programming problems are among the most popular types of learning content in programming classes. Most approaches and tools for presenting these examples to students are based on line-by-line explanations of the example code. However, instructors rarely have time to provide…

The COVID-19 pandemic, an unprecedented global health crisis, has not only significantly impacted public health but has also caused substantial disruptions to conventional education systems. In response to these challenges, our institution has undertaken innovative measures within the realm of education. A pivotal aspect of our response involves…

Teaching students statistical programming languages while simultaneously teaching them how to debug erroneous code is challenging. The traditional programming course focuses on error-free learning in class while students' experiences outside of class typically involve error-full learning. While error-free teaching consists of focused lectures…

A typical first computer science course (CS1) introduces the student to coding conventions, variables, methods, control structures, conditionals, and the semantics of classes and objects. Advanced concepts of inheritance, polymorphism, abstract classes, interfaces, and their use in the design process, are covered in a second-level course (CS2).…

This paper presents a case study that is part of a research studying how university statistics teachers integrate digital tools in their practice. The case study is of a teacher who claims to follow constructionist ideas for her teaching of statistics, using the R programming language. The teacher developed a series of activities with R, aiming to…

STEM integration holds significant promise for supporting students in making connections among ideas and ways of thinking that might otherwise remain "siloed." Nevertheless, activities that integrate disciplines can present challenges to learners. In particular, they can require students to shift epistemological framing, demands that can…

In this paper, we present data from a study exploring the use of coding to promote mathematical thinking. A teaching experiment was undertaken with 40 Year 2 students participating in six 45-minute lessons of coding (one lesson per week for six weeks). All lessons were video-recorded and analysed to determine students' mathematical thinking.…

Fifty-seven students in mathematical content and secondary mathematics methods courses from four U.S. universities participated in an instructional sequence to generate communal criteria defining mathematical proof within their respective classrooms. Participants completed a proof-related task before class, worked together in small groups to…

Increasing the quality and effectiveness of education and training, contributing to the social, political and economic structure of the countries is something that educators and educational policy makers are always working on. Increasing the quality of education and training nowadays can be achieved with the development of 21st century skills in…

This study investigates teacher responses to a common set of high potential instances of student mathematical thinking to better understand the role of the teacher in shaping meaningful mathematical discourse in their classrooms. Teacher responses were coded using a scheme that disentangles the teacher move from other aspects of the teacher…

Most research on linguistic features of test items negatively impacting English language learners' (ELLs') performance has focused on lexical and syntactic features, rather than discourse features that operate at the level of the whole item. This mixed-methods study identified two discourse features in 162 multiple-choice items on a standardized…

Our mathematics cognitive technology noticing framework is based on professional noticing and curricular noticing frameworks and data collected in a study that explored how secondary mathematics teachers evaluate technology. Our participants displayed three categories of noticing: attention to features of technology, interpretation of the…

In this work we will introduce the concept of "music coding," namely a new discipline that employs basic music activities and simplified languages to teach the computational way of thinking to musically-untrained children who attend the primary school. In this context, music represents both a mean and a goal: in fact, from one side…