Is procedure acquisition as unstable as it seems?

Are students’ mathematical procedures as unstable as they seem? Students often produce different errors in response to the same kind of problems on different testing occasions. This finding is puzzling. Past research has shown that students induce overly general procedures from worked-out examples during learning, which lead to a host of predictable errors on new problems. Do students create rule-based errors only to then switch between them at random? In this paper, we show that seemingly diverse errors on two different testing episodes may result from the same underlying stable procedure and are part of the same error category. These findings suggest that students’ errors are more stable on a category vs. on an individual level. The current study consists of teaching students addition in a new number system, called NewRoman, and analyzing students’ solution strategies in detail. Implications for teaching are discussed.     

The tangled roots of real estate markets,the state,and public education

In this article, I use a case study of education in nineteenth-century Oregon to place the twentieth-century phenomenon of ‘shopping for schools’ within a broader historical context. In doing so, I make three points. First, documenting previously unacknowledged links between the spread of public education and efforts to market land, I suggest that education, real estate markets, and the state have deeper and more tangled roots than scholars have imagined. Second, I contend that wrestling with these tangled roots suggests the need for scholars to reexamine the role of private markets in shaping the organisation of educational opportunity across places and time. Third, I argue that histories like Oregon’s demonstrate that ‘state’ and ‘market’ are neither stable nor mutually exclusive categories.     

A theory of instruction for introductory programming skills

ABSTRACT

Background and Context: Current introductory instruction fails to identify, structure, and sequence the many skills involved in programming.

Objective: We proposed a theory which identifies four distinct skills that novices learn incrementally. These skills are tracing, writing syntax, comprehending templates (reusable abstractions of programming knowledge), and writing code with templates. We theorized that explicit instruction of these skills decreases cognitive demand.

Method: We conducted an exploratory mixed-methods study and compared students’ exercise completion rates, error rates, ability to explain code, and engagement when learning to program. We compared material that reflects this theory to more traditional material that does not distinguish between skills.

Findings: Teaching skills incrementally resulted in improved completion rate on practice exercises, and decreased error rate and improved understanding of the post-test.

Implications: By structuring programming skills such that they can be taught explicitly and incrementally, we can inform instructional design and improve future research on understanding how novice programmers develop understanding.     

Creating Positive Lived Experiences in Schools for International Relocatee Parents and Their Children

Early Childhood Education Journal - Children benefit from strong home–school relationships. Yet, parents who are immigrants and refugees are expected to follow frameworks for school...     

Is There a Need for Transcendental Arguments in Discourse Ethics?

In this essay, James Scott Johnston examines Jürgen Habermas's transcendental justification of his discourse theory of morality. According to Johnston, the application of Habermas's theory to educational issues often assumes that this justification is a cogent one. However, if the theory is to provide reasoned and appropriate guidance for educators, the justification of discourse ethics requires closer examination. Johnston argues that Habermas's so‐called “weak” transcendental approach is in fact unsustainable because it fails to reconcile two conflicting schools of philosophical thought: Kant's transcendental idealism and George Herbert Mead's social pragmatism. Johnston concludes that a more plausible justification of the discourse ethical project can be achieved by rejecting Habermas's Kantianism and appealing solely to Mead's social pragmatic conception of rationality.     

The University Experiences of Students with Learning Disabilities

To explore the university experiences of students with learning disabilities (LD), 63,802 responses to the 2014 Student Experience in the Research University Survey were analyzed. Compared to other students, those with self‐reported LD (5.96 percent) had difficulty with assignments and had more obstacles caused by nonacademic responsibilities and imposed by their skill levels. Students with self‐reported LD sensed more bias toward people with disabilities on campus, and they were less satisfied with their overall experience. Interactions between disability status and age suggested even more challenges for older students who self‐reported LD. Approximately one‐third of students who self‐reported LD received accommodations. The rate of accommodations was higher among individuals who were wealthy, who lived alone, and who were out‐of‐state students. Compared to students who self‐reported LD but reported no accommodations, those with accommodations had more contact with faculty and less difficulty with assignments.     

Effects of Calculator Use on Scores on a Test of Mathematical Reasoning

A sample of college-bound juniors from 275 high schools took a test consisting of 70 math questions from the SAT. A random half of the sample was allowed to use calculators on the test. Both genders and three ethnic groups (White, African American, and Asian American) benefitted about equally from being allowed to use calculators; Latinos benefitted slightly more than the other groups. Students who routinely used calculators on classroom mathematics tests were relatively advantaged on the calculator test. Test speededness was about the same whether or not students used calculators. Calculator effects on individual items ranged from positive through neutral to negative and could either increase or decrease the validity of an item as a measure of mathematical reasoning skills. Calculator effects could be either present or absent in both difficult and easy items