Knowledge of probability is perceived as valuable in the 21st century. This knowledge enables people to understand and make informed decisions relating to uncertain events that occur in real life. Hence, many educational authorities have considered the inclusion of the teaching of probability important in their school curricula. This study…

The mathematics standards for many countries include teaching and learning ratios, typically with efficient algorithms and strategies (Australian Curriculum: Mathematics, Assessment and Reporting Authority, 2017; National Council of Teachers of Mathematics, 2014). In the 1990s, Cramer and Post (1993) claimed that school mathematics mostly involves…

This research was motivated by several studies which show that students have difficulties in understanding the material ratio, wherein one contributing factor is the lack of ability in proportional reasoning. The purpose of this study is to produce a trajectory of learning to help students develop abilities in comparison reasoning. Solution…

In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we…

The Program for the International Assessment of Adult Competencies (PIAAC) is a cyclical, large-scale study of adult skills and life experiences focusing on education and employment. Nationally representative samples of adults between the ages of 16 and 65 are administered an assessment of literacy, numeracy, and problem solving in technology rich…

Sprego is programming with spreadsheet functions. The present paper provides introductory Sprego examples which have so far only been available in Hungarian. Spreadsheet environments offer both a programming tool which best serves beginner and end-user programmers' interest, and an approach which lightens the burden of coding and language details.…

This paper considers the responses of 115 school students to two problems based on information provided in two-way tables. In each case the question asks if one of the variables involved depends on the other. Contextual knowledge might suggest a dependent relationship in both but in one problem the data show independence while in the other the…

Thirty-six secondary school students aged 14-16 were interviewed while they chose between a table, a graph or a formula to solve three linear function problems. The justifications for their choices were classified as (1) task-related if they explicitly mentioned the to-be-solved problem, (2) subject-related if students mentioned their own…

This study evaluates the effects of an intervention aimed at improving representational flexibility in linear-function problems. Forty-nine students aged 13-16 participated in the study. A pretest-intervention-posttest design with an experimental and control group was used. At pretest, both groups solved a choice test, where they could freely…

The venerable aphorism "an old dog cannot learn new tricks" implies that the elderly rarely learn anything new--in particular, scientific knowledge. On the basis of "learning by doing," the present study emphasized knowledge application (KA) as elderly subjects collaborated on the design of a toy flying saucer (UFO). Three…

This appendix accompanies the report "Taking the Lead in Science Education: Forging Next-Generation Science Standards. International Science Benchmarking Report," a study conducted by Achieve to compare the science standards of 10 countries. This appendix includes the following: (1) PISA and TIMSS Assessment Rankings; (2) Courses and…

Describes a study conducted at the University of Southern Queensland (Australia) that investigated problem-solving behavior in statistics by documenting differences between successful and unsuccessful students. Two methodological approaches are described: one required students to identify key structural features of common problems, and the second…

This article presents a survey and analysis of Examiners' Reports on French written papers, looking specifically at difficulties in using verbs appropriately. It draws on evidence from second-language acquisition research to determine the nature of the problem and hypothesizes links between the decline in written accuracy and the rise in oral…

Reports on results of a Swiss project designed to provide descriptions of language competence at various cross-over points at which Swiss learners change from one educational sector to another in order to create a coherent information system for course planning, coordination of certification, self-assessment, and reporting achievement. (72…

Discusses how students generate meanings for mathematical word problems, develops a generative predicational model to account for students' comprehension of word problems, and describes an empirical study of Israeli sixth graders that was designed to test the model. Talk aloud protocols of the students are analyzed, and hypotheses tested are…