Background and Context: We explored how learning trajectories (LTs) might be used to design variables instruction. Objective: We aimed to develop an LT for variables and use it to guide curriculum development for fourth graders working in Scratch in an integrated mathematics+CS curriculum. Method: We synthesized learning goals (LGs) and levels of…

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…

Which words should students master in spelling? Language arts teachers can involve pupils in planning a list of words to learn to spell through a specific activity or experience, with sequentially planned lists aiding each learner to become a better speller. Pupil-teacher planning to determine scope and sequence in the spelling curriculum should…

The instructional program described in this guide is designed to provide a sequential language arts curriculum for kindergarten through grade 12. Information contained in the guide includes (1) a statement of philosophy; (2) language arts objectives for each grade level; (3) a guide to language arts skills; (4) learner outcomes for grades one…