Recent research has highlighted the role of functional relationships in introducing elementary school students to algebraic thinking. This functional approach is here considered to study essential components of algebraic thinking such as generalization and its representation, as well as the strategies used by students and their connection with…

It is known that teacher noticing skills improve through different interventions such as video clubs, lesson study, and short-term professional development programs. However, it is not known whether this improvement is permanent and whether teachers can transfer their noticing skills into the classroom. It is extremely important to provide an…

Mathematically gifted students have a high potential for understanding and thinking through mathematical relations and connections between mathematical concepts. Currently, it is thought that generalizing patterns algebraically can serve to provide challenges and opportunities that match their potential. This article focuses on a mathematically…

Generalisation is a skill that enables learners to acquire knowledge in general, and mathematical knowledge in particular. It is a core aspect of algebraic thinking and, in particular, of functional thinking, as a type of algebraic thinking. Introducing primary school children to functional thinking fosters their ability to generalise, explain and…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

Background/Context: Because metacognitive knowledge includes knowledge about adequate learning strategies, and because an effective use of learning strategies is associated with higher levels of performance, substantial relationships can be assumed between metacognitive knowledge, strategic behavior, and performance. However, such a pattern of…

The study outlined in this article aims to describe and explain the cognitive learning strategies used by foreign students in learning the Indonesian language. The research was designed as a qualitative study. The research participants are foreign students who were learning the Indonesian language in the BIPA program. The data sources of the…

The research object is the activity-based learning theory. The purpose of the study is to prove the assumption that the subject-object approach as a direction of the learning theory is the most effective one in the context of development of modern paradigms of linguistic education. The authors believe that the main content of the learning activity…

This paper explored variation of strategy use in pattern generalization across different generalization types and across grade level. A test was designed to assess students' strategy use in pattern generalization tasks. The test was given to a sample of 1232 students from grades 4 to 11 from five schools in Lebanon. The findings of this study…

The 10th International Conference on Educational Data Mining (EDM 2017) is held under the auspices of the International Educational Data Mining Society at the Optics Velley Kingdom Plaza Hotel, Wuhan, Hubei Province, in China. This years conference features two invited talks by: Dr. Jie Tang, Associate Professor with the Department of Computer…

The purpose of the present study was to examine the effectiveness of most to least prompting on teaching pedestrian skills to individuals with developmental disabilities. Five individuals with developmental disabilities were taught three different pedestrian skills, all related to crossing the streets, using simulation activities on a road model…

The "independent learner" is a key construct within discourses of educational policy and practice in the UK. Government policy statements stress the importance of developing learner independence, and higher education pedagogical practices tend to rest on the assumption that students are independent learners. This paper draws on research…

Evaluated effects of daily practice writing spelling words in sentences on generalization of spelling words to written work. Findings from mildly mentally handicapped students (n=4) aged 8 to 13 showed that generalization of the target spelling words to written work was improved by sentence writing. Follow-up condition indicated maintenance of…

Under the National Curriculum in the United Kingdom, children with learning difficulties will need to use transfer skills for various cross-curricular themes. To promote transfer, the use of cognitive strategies is recommended, including perceived similarity, analysis of the learning context, expert scaffolding, and detailed planning of practice…

Examined the problem-solving strategies of above average students (n=42) in grades 2-4 on problems involving forgotten or new material while practicing arithmetic with a computer. Identified the different problem-solving strategies used, sorted them into categories, and illustrated them with examples from students' protocols. Made suggestions for…