Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

Little-to-no research examines the provision of targeted mathematical interventions to students struggling with mathematics in a virtual environment. And yet, the global pandemic of 2020--extending into 2021--found schools in such a scenario. This article reports two studies in which researchers explored the intervention package of explicit…

According to a language-integrated view of spelling development, learning to spell involves the same language-learning skills across alphabetic systems. A prediction based on this view is that the same spelling training should be equally effective for learning to spell in a shallow (Italian, native language) or an opaque (English, additional…

This paper focuses on pattern generalisation as a way to introduce young students to early algebra. We build on research on patterning activities that feature, in their work with algebraic thinking, both looking for sameness recursively in a pattern (especially figural patterns, but also numerical ones) and conjecturing about function-based…

This study was designed to examine the effects of an intervention program aimed at improving reading, spelling, and vocabulary skills through linguistically explicit instruction in morphological awareness. Sixteen children, diagnosed with language impairment, participated in this study. Instruction for the experimental group focused on increasing…

In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…

The purpose of this study was to determine if a typical third-grade boy and fifth-grade girl and a boy with learning disabilities could benefit from the combined use of Direct Instruction (DI) flashcard and math racetrack procedures in an after-school program. The dependent variable was accuracy and fluency of saying basic multiplication facts. A…

The current study examined the utility of multiple-exemplar training to teach children with autism to share. Stimuli from 3 of 4 categories were trained using a treatment package of video modeling, prompting, and reinforcement. Offers to share increased for all 3 children following the introduction of treatment, with evidence of skill maintenance.…

This study investigated the effects of repeated readings on the reading abilities of 4, third-, fourth-, and fifth-grade English language learners (ELLs) with specific learning disabilities (SLD). A multiple baseline probe design across subjects was used to explore the effects of repeated readings on four dependent variables: reading fluency…

Generalization is the key to effective autism intervention--when children can apply new skills across settings, they'll make broad, long-term improvements in behavior and social communication. The first how-to guide to generalization is finally here! Practical and reader-friendly, this is the book that helps professionals take today's most popular…

Young learners need activities that engage them mentally and physically in processing new information. It is easy to accept such ideas intuitively, but matching the curriculum content to meaningful activities is a challenge. The authors believe that following a learning cycle is a satisfactory way to meet that challenge. A learning cycle is a…

The teaching and learning in algebra has been much debated. Traditionally early algebra has relied heavily on arithmetic. Recently our focus has changed to teaching algebraic thinking with arithmetic thinking. This paper explores the models that assist young students generalise the patterns of arithmetic compensation. A teaching experiment was…

This study examined the effects of providing explicit metacognitive instruction prior to cognitive strategy instruction on students' with learning disabilities ability to generalize a vocabulary strategy learned in a special education setting to a general education setting. The subjects were eight elementary school students with learning…