Mathematical reasoning is important in conceptual understanding and problem solving. In current reform-based, discourse-oriented mathematics classrooms, students with learning disabilities (LD) encounter challenges articulating or explaining their reasoning processes. Enlightened by the concept of conversational repair borrowed from the field of…

The concepts of hybridity and governance have been an important line of research in the context of social companies and public institutions. The purpose of this paper is to explore these notions in the framework of hybrid communities of social innovation by showing the importance of intangible capital in the improvement of functional skills,…

Maori-medium pangarau classrooms occupy a unique space within the mathematics education landscape. The language of instruction is an endangered minority language and many teachers and learners in Maori-medium pangarau classrooms are second language (L2) learners of te reo Maori. Mobile technology could be used in Maori-medium pangarau classrooms…

The goals of problem-solving activities in the elementary grades often include making sense of story problems, developing a range of strategies, and reaching accurate solutions. These are important mathematical aims, but they do not fully address the demands of modeling with mathematics as described in the fourth of the Common Core's eight…

The Common Core's Standards for Mathematical Practice encourage teachers to develop their students' ability to reason abstractly and quantitatively by helping students make sense of quantities and their relationships within problem situations. The seventh-grade content standards include objectives pertaining to developing linear equations in…

This comparative study of two approaches contrasts a schema-based approach to represent a solution approach to solving whole number contextual problems for grades 2 and 3 with the traditional textbook approach. The participants are 9 to 11- year-old Afghani refugee students enrolled in non-public schools administered by NGO organization in Iran.…

This study aims to identify errors made by primary school students when modelling word problems and to eliminate those errors through scaffolding. A 10-question problem-solving achievement test was used in the research. The qualitative and quantitative designs were utilized together. The study group of the quantitative design comprises 248…

The aim of this research is to determine what are the unwanted student behaviors and causes in mathematics classes, what strategies teachers use to cope with these behaviors, and how adequate they feel themselves coping with these behaviors. This research carried out with case study from qualitative research designs and the data were gathered with…

Importance: Food problem at the present stage of development of mankind is that due to improper and overly intensive use of natural resources, increasing demand for livestock products, increasing per capita food consumption and other factors, there has been a steady rise in food prices, represents a threat to food security in the countries with…

In his 1973 article "The Structure of ill structured problems", Herbert Simon proposed that solving ill-structured problems could be modeled within the same information-processing framework developed for solving well-structured problems. This claim is reexamined within the context of over 40 years of subsequent research and theoretical…

Multivariate techniques are increasingly popular as researchers attempt to accurately model a complex world. MANOVA is a multivariate technique used to investigate the dimensions along which groups differ, and how these dimensions may be used to predict group membership. A concern in a MANOVA analysis is to determine if a smaller subset of…

It is argued in this paper that a significant number of definitions of terms provided in currently available methodological texts are inadequate or positively misleading. Some do not cover the main meaning of the term but focus instead on a non-standard one. Others fail to pick out the distinctive features of what is being defined. There are also…

Creativity and innovation are frequently mentioned as key 21st-century skills for career and life success. Indeed, recent research provides evidence that the jobs of the future will increasingly require the ability to bring creative solutions to complex problems. And creativity is often the spice of life, that little extra something that makes the…

Background: A key feature of engineering design is collaborative, deliberate decision making that takes into account information about design options. K-12 students need opportunities for this kind of decision making if they are to meet the learning standards for engineering set out in the Next Generation Science Standards. Purpose: This…

Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…