Random sampling and random allocation are essential processes in the practice of inferential statistics. These processes ensure that all members of a population are equally likely to be selected, and that all possible allocations in an experiment are equally likely. It is these characteristics that allow the validity of the subsequent calculations…

School and university mathematics: Do they speak the same language? Our university mathematics students come from amongst the successful school mathematics students, but what difficulties with symbols do their lecturers and tutors observe? In this paper, we report on data from interviews with 21 first-year lecturers and tutors from four…

This paper explores the construct of curricular noticing, defined as the act of teachers making sense of the complexity of content and pedagogical opportunities in written or digital curricular materials (Dietiker, Amador, Earnest, Males, & Stohlmann, 2014), and reports the results of four exploratory studies aimed to examine the Curricular…

To understand the mathematical concept of function, students must understand certain subconcepts, such as domain and range. Many researchers have studied students' understanding of functions, but no study has focused on how students come to understand the domain and range for the graphs of functions. In this study, we identified four common…

Engagement during reading can be measured by the amount of time readers invest in the reading process. It is hypothesized that disengagement is marked by a decrease in time investment as compared with the demands made on the reader by the text. In this study, self-paced reading times for screens of text were predicted by a text complexity score…

Although English language learners (ELLs) are one of the fastest growing groups of students in the United States, many teacher preparation programs have yet to require preservice teachers (PSTs) to receive training in effective practices for teaching ELLs. We examined a four-week field experience pairing an elementary PST with an ELL. We examined…

The current paper describes a first experiment in the use of TED talks and open tagging exercises to train higher-level comprehension skills, and of automatic logging of the student's actions to investigate the student choices while performing analytical tasks. The experiment took advantage of an interactive learning platform--LearnWeb--that…

The paper presents the results of a study based on a training program for in-service mathematics teachers, targeting to improve their skills of problem posing and qualitative appreciation of problems. During this training program, we found an improvement in participating teachers' availability to discuss and analyse math problems, but also…

This study was designed to examine the processes underlying developmental changes in children's (1) use of combinatorial strategy, and (2) comprehension of conjunctive and disjunctive propositional relationships. A total of 108 children from third, sixth and eighth grades participated in this study. Each child was administered three tasks…

A unit on animals was taught to 64 preschool children (44 in an experimental group and 20 in a control group). Children in the experimental group were taught nine major concepts over four levels of abstraction (designated as superordinate, intermediate, subordinate, or particular levels). Each concept was presented by means of an advance organizer…

One method of evaluating comprehension and language growth consists of analyzing the oral or written answers to questions about stories read to or by students and about visual representations. The method is applicable to various content areas at all levels of instruction. The T-unit or communication unit, the linguistic unit that cannot be further…

Current views both of reading and of understanding spoken language conceptualize the process of deriving meaning as similar to hypothesis testing. The listener or reader is seen as selecting whatever information is required to confirm the hypothesized meaning. In the present study, 60 children (12 each in grades four through eight) reworded…

Comprehension of metaphor was examined in 36 children ranging in age from 55 months to 186 months. The subjects were audiotaped while answering questions about a target sentence that was contextually anomalous. Five pictures were drawn to accompany each story, two relating to the literal meaning of the target sentence, two to the metaphoric…

Three questions are addressed in this study: (1) what is the effect of additional, unexplained content on achievement and perception? (2) is the effect altered by time? and, (3) what is the relation between student achievement and student perception? It was determined that the effect on achievement was not significant but the effect on perception…

An attempt was made to integrate script and schema-based approaches in an examination of children's early gender role development and gender typing. The examination focused on: (1) young children's sequencing of gender scripts and the relation of this sequencing to children's age, sex, and gender role knowledge; and (2) age-related differences in…