Engaging students in a challenging (cognitively demanding) task and launching a mathematics lesson with a task before instruction are two characteristics of a reform-oriented approach to mathematics instruction often considered together. The authors systematically contrasted teaching with challenging tasks using a task-first lesson structure with…

An intervention experiment served to evaluate the efficacy of highly guided discovery learning of relations underlying add-1 and doubles combination families and to compare the impact of such instruction with minimally guided instruction. After a pretest, 78 first graders were randomly assigned to one of three intervention conditions: highly…

For young children, a found acorn, stone, or lichen-covered branch can be a touchstone of an experience in nature. Children, however, should also be taught to "leave no trace." As the National Park Service advocates, visitors to natural areas should "Preserve the sense of discovery for others by leaving all natural and cultural…

This paper reports the results of the improving thinking skills (ITS-1) intervention study on the thinking skills of low-achieving first graders. The intervention programme consists of 12 lessons, each lasting for 45 min. Lessons offer enriched-discovery learning activities and tasks to be solved through inductive reasoning. We used a…

A 9-month training experiment was conducted to evaluate the efficacy of highly and minimally guided discovery interventions targeting the add-1 rule (the sum of a number and one is the next number on the mental number list) and doubles relations (e.g., an everyday example of the double 5 + 5 is five fingers on the left hand and five fingers on the…

A concrete-semiconcrete-abstract (CSA) instructional approach derived from discovery learning (DIS) was embedded in a direct instruction (DI) methodology to teach eight elementary students with math disabilities. One-minute abstract-level probes were the primary metric used to assess student performance on subtraction problems (minuends 0-9). A…

In a 9-month training experiment, 64 first graders with a risk factor were randomly assigned to computer-assisted structured discovery of the add-1 rule (e.g., the sum of 7 + 1 is the number after "seven" when we count), unstructured discovery learning of this regularity, or an active-control group. Planned contrasts revealed that the…

In a meta-analysis of 164 studies, Alfieri, Brooks, Aldrich, and Tenenbaum (2010) found that assisted discovery learning was more effective than explicit instruction or unassisted discovery learning and that explicit instruction resulted in more favorable outcomes than unassisted discovery learning. In other words, "unassisted discovery does…

Traditionally, early childhood educators address the gaping hole in their planning books under the "social studies" header by teaching a smattering of thematic units. Most early childhood educators now know the importance of planning experiences for social studies, or any other content area, that are integrated, meaningful, and of high interest.…

This ethnographic study investigated how first grade students used handheld computers to learn in collaboration with others throughout the learning process. This research focused specifically on how the use of handheld computers impacts students' learning outcomes and relates to technology standards. A qualitative methodology was used to capture…