Learning mathematics is difficult for many students, especially students with mathematics learning disabilities MLD. To improve the academic achievement for students with MLD, educational legislations (IDEA 2004; ESSA 2015) mandate that schools must use evidence-base core curricula. Textbooks conveys the intended values and principles for…

This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…

This paper supports the view that language instruction should be evidence and principle-based. Key facts about second language acquisition will be presented highlighting the main implications for language instruction. A principled and evidence-based approach to language instruction is one which takes into consideration the following: (i) a clear…

Promoting reasoning is the goal of mathematics education. While reasoning behaviours can be observed, how to characterise them and nurture their growth remains ambiguous. In this article, we report our effort in drafting a learning progression and geometric thinking model and using them to investigate Australian students' geometric reasoning…

Purpose: Children make spelling errors despite classroom instruction on phoneme-grapheme connections and spelling rules. We examined whether additional practice helps to decrease the number of spelling errors for a morphological spelling rule. We distinguished explicit practice in applying a spelling rule from implicit exposure to correct word…

There is an educational expectation that children's natural drawing will develop into proficient mathematical representations and formal diagrams, yet there is little research available to guide the assessment and development of children's mathematical drawing skills. The aim of this paper is to explore how Year 2 children (approx. 7 years) chose…

In her article, Graham (2017) concludes 'that very little of the research regarding the teaching of listening has made it into the classroom in England, not least in a positive way' (p. 117). She suggests that teachers rarely delve into the process of second language (L2) listening in class; instead, listening comprehension is treated more as a…

The National Council of Teachers of Mathematics (NCTM 2014) takes a clear stance that each and every student should have rich experiences in mathematics classrooms. In 2015, the Every Student Succeeds Act noted that Universal Design for Learning (UDL) is an evidence-based, scientifically valid framework that fosters access to instruction for all…

Blended instruction integrating off-line and on-line teaching has become an important instrument for promoting educational reform and innovation. However, the results of current empirical studies diverge on the effect of blended instruction on student performance, which necessitates further research on the effectiveness of blended instruction and…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

This dissertation investigates how English-speaking second language (L2) learners of Mandarin perceive, process and learn Mandarin lexical tones. While most languages use modulations in pitch (intonation) to convey meanings at the phrasal and sentential levels, a number of languages, including Mandarin, also use suprasegmental features such as…

This systematic review provides a synthesis of intervention research that taught mathematical word problem solving skills to students with autism spectrum disorder between 1975 and April of 2020 by evaluating the body of research in terms of "what works", "for whom" and "under what conditions". The Council for…

I present my perspective on the design process in this article, arguing for a focus on student learning and "slow design" that stems from knowledge of mathematics and their support system in the learning process. I have a question about the design process academization and task design research direction. Numerous examples from my work at…

One of the most challenging issues for online courseware engineering is to maintain the quality of instructional components, such as written text, video, and assessments. Learning engineers would like to know how individual instructional components contributed to students' learning. However, it is a hard task because it requires significant…

This investigation aimed to explore the feasibility of implementing the strategic and interactive signing instruction (SISI) framework and its potential to enhance the signed composition skills of four deaf students in a first/second-grade classroom. SISI was adapted from the existing strategic and interactive writing instruction (SIWI) framework…