Observed Quality of Formative Peer and Self-Assessment in Everyday Mathematics Teaching and its Effects on Student Performance

<p style="text-align: justify;">The positive effect of peer assessment and self-assessment strategies on learners' performance has been widely confirmed in experimental or quasi-experimental studies. However, whether peer and self-assessment within everyday mathematics teaching affect student learning and achievement, has rarely been studied. This study aimed to determine with what quality peer and self-assessment occur in everyday mathematics instruction and whether and which students benefit from it in terms of achievement and the learning process. Two lessons on division were video-recorded and rated to determine the quality of peer and self-assessment. Six hundred thirty-four students of fourth-grade primary school classes in German-speaking Switzerland participated in the study and completed a performance test on division. Multilevel analyses showed no general effect of the quality of peer or self-assessment on performance. However, high-quality self-assessment was beneficial for lower-performing students, who used a larger repertoire of calculation strategies, which helped them perform better. In conclusion, peer and self-assessment in real-life settings only have a small effect on the student performance in this Swiss study.</p>

AN ANALYSIS OF LEARNERS’ SOLUTION STRATEGIES IN THE CONTEXT OF MODELLING TASKS

It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners’ solution strategies and cognitive considerations is established to develop a practice-oriented instrument to determine and assess the complexity of solution strategies of modeling tasks. In this paper, the selected learners’ strategies’ structure was analyzed in-depth to identify the underlying cognitive structure. The results show that thought operations carried out in parallel complicated a solution strategy. However, the results also support a purely sequential thought operation approach without weighting parallel thought operations, which corresponds to an intuitive assessment procedure by mathematics teachers. As assessment is a great challenge for many teachers in the context of modeling tasks, this study provides a promising frame of reference for further research in this important domain of assessment and modeling.

PENGARUH MODEL PEMBELAJARAN EVERYDAY MATHEMATICS DAN GAYA KOGNITIF TERHADAP KEMAMPUAN BERPIKIR KRITIS SISWA SMA NEGERI 4 SELUMA BENGKULU

This article explains the results of research on the influence of everyday mathematics learning models on critical thinking skills of Class XI students of SMA Negeri 4 Seluma in the 2019/2020 Academic Year. This type of research is experimental research with quasi experimental. This research was conducted at SMAN 4 Seluma in the odd semester of the 2019/2020 school year with a population of all class XI and sample classes XI MIA1, XI MIA2, XI MIA3, and XI IIS2. Research data were analyzed using Ancova test. The results showed that there were differences in critical thinking skills between students taught with everyday mathematics and conventional learning models after controlling students' initial abilities with p-value = 0.00 <0.05, there were differences in critical thinking between students whose cognitive styles were Field Independent (FI), and Field Dependent (FD) cognitive style after controlling students 'initial abilities with p-value = 0.00 <0.05, there is an influence of learning model interaction and cognitive style on critical thinking skills after controlling students' initial abilities with grades p-value = 0.00 <0.05, there is a linear influence of students 'initial covariate ability on critical thinking skills with p-value = 0.00 <0.05, students' initial ability, everyday mathematics learning model and cognitive style together - the same effect on critical thinking skills p-value = 0.00 <0.05

Experiences of problem solving in whole class interactions

Problem solving is often considered to be an essential part of learning mathematics. In this paper we examine the whole class interactions around problems and problem solving as they naturally occur in mathematics classrooms. Thus, we are examining students’ ordinary experiences of problem solving in their everyday mathematics lessons. Our analysis shows how students’ participate in a very narrow range of problem solving actions and that the actions that they do participate in are controlled by the teacher. This raises implications for what students perceive and interpret problem solving to be in mathematics.

Globalized Mathematics Curriculum

It is a known fact that the world now is a global village. Almost every aspect of human endeavor is moving with space in this era of digitization and movement with ethos of ages. The teaching of mathematics has been polarized in term of introduction of cultural diversity from other countries. Within standardized curricula, concepts and teaching are largely dissociated from the knowledge and skills a child brings into the classroom. Unless learners realize that mathematics exist in their very own world, beyond school walls and beyond a Eurocentric worldview, many of them will continue to complain about it as boring and uninteresting. Universalizing the curriculum for the sake of simplifying assessment or selling textbooks is not going to minimize the anxiety or even hatred that many students feel towards numbers. Conversely, introducing everyday mathematics into curricula will help students understand that math is something related to their culture.

Interesting textual tasks as creative tools

This study aims to promote the use of interesting textual tasks during everyday mathematics classes, especially during solving exercises. Consequently, this should contribute to the possibility for students to obtain long-lasting knowledge while stimulating the process of creative thinking and understanding. Further to encourage students to investigate mathematical concepts on a deeper, more creative level, we use rich and interesting problems that can be explored on a variety of levels. This process should be well planned, though-out and specified. Well-chosen tasks and discussion can not only improve and empower the process of individualisation and differentiation during doing mathematics but also stimulate the process of creative thinking and motivate students in their current learning. These interesting tasks can be solved in a variety of ways and students should be given a chance to explain their reasoning to each other. One interesting task can be used as a springboard for several others. Keywords: Teaching legal translation, ESP, ESL, error analysis.