Authentic Choice in Mathematical Assessments

2021 ◽  
Vol 114 (4) ◽  
pp. 338-339
Author(s):  
Shraddha Shirude
Keyword(s):  
Mathematics Education ◽  
Mathematical Assessments

Ear to the Ground features voices from various corners of the mathematics education world.

scholarly journals Not all Equals are Equal: Decoupling Thinking Processes and Results in Mathematical Assessments

2019 ◽  
pp. 631-636
Author(s):  
Stephen Woodcock
Keyword(s):  
Mathematics Education ◽  
Specific Question ◽  
Transferable Skills ◽  
Mathematical Thought ◽  
Initial Work ◽  
Thinking Processes ◽  
Positive Integers ◽  
Mathematical Assessments

One of the greatest challenges in mathematics education is in fostering an understanding of what mathematicians would recognise as “mathematical thought.” We seek to encourage students to develop the transferable skills of abstraction, problem generalization and scalability as opposed to simply answering the specific question posed. This difference is perhaps best illustrated by the famous – but likely apocryphal – tale of Gauss’s school days and his approach to summing all positive integers up to and including 100, rather than just summing each sequentially. Especially with the rise of technology-enabled marking and results-focussed tutoring services, the onus is on the educator to develop new types of question which encourage and reward the development of mathematical processes and deprioritise results alone. Some initial work in this area is presented here.

scholarly journals Young Children Representing Numbers: What Does the Literature Say?

2015 ◽  
Vol 39 (3) ◽  
pp. 5
Author(s):  
Gabriela Arias de Sanchez
Keyword(s):  
Early Childhood ◽  
Mathematics Education ◽  
Young Children ◽  
Early Childhood Educators ◽  
Young Age ◽  
Conceptual Frameworks ◽  
Early Childhood Mathematics ◽  
Educational Settings ◽  
Pedagogical Principles ◽  
Mathematical Assessments

Children are exposed to written numerals from a very young age, and the practice of using written numerals is encouraged in early childhood educational settings. Further, many mathematical assessments are based on young children’s understanding of conventional numerals. Supported by socio-constructivist ideas, this review summarizes a body of research in the areas of symbolic and numeric development in young children, providing a synthesis for early childhood educators and teachers. This work is an invitation to reflect on both the pedagogical principles that underline “pencil-pushing practices” and the conceptual frameworks that support current early childhood mathematics education.

Mathematics Textbook as an Object of Research/Matematički udžbenik kao predmet istraživanja

2014 ◽  
Vol 16 ◽  
Author(s):  
Dubravka Glasnović Gracin
Keyword(s):  
Mathematics Education ◽  
Mathematical Knowledge ◽  
Empirical Studies ◽  
Mathematics Textbooks ◽  
Mathematics Textbook ◽  
Mathematics Book

AbstractA mathematics textbook can be described as an officially authorized and pedagogically designed mathematics book written to provide mathematical knowledge to students. This description suggests the authority of the textbook - because it has been authorized by an administrative source and because it deals with authorized knowledge. This paper provides an overview of research on mathematics textbooks. The emphasis is on questions concerning the extent to which and how textbooks are used in mathematics education in Croatia and in the world.Research results show that mathematics textbooks are widely used in mathematics education worldwide. This finding points to the need for research on the content and structure of textbooks. Such studies are combined with the associated results on how textbooks are used in the classroom and which methods teachers apply in using textbooks in mathematics education. The results of the empirical studies show that teachers use textbooks for lesson preparation and pupils use mathematics textbooks for exercises to a great extent. These results imply that such an important role of textbooks in mathematics education deserves additional attention, with the goal of understanding and improving mathematics education.Key words: mathematics education; overview; research on textbook---SažetakMatematički udžbenik može se opisati kao službeno autorizirana i pedagoki osmiljena matematička knjiga napisana s ciljem da učenicima ponudi matematičke sadržaje. Taj opis sugerira autoritet udžbenika jer ga je autorizirao administrativni izvor i jer sadrži autorizirano znanje. Ovaj članak daje pregled istraživanja matematičkih udžbenika, a naglasak je na pitanjima u kojoj mjeri i kako se udžbenici koriste u nastavi matematike u Hrvatskoj i u svijetu.Rezultati raznih istraživanja pokazuju da se udžbenici u velikoj mjeri koriste u nastavi matematike irom svijeta. Taj nalaz ukazuje na potrebu za istraživanjem sadržaja i strukture matematičkih udžbenika. Uz to, prikazani su rezultati istraživanja o tome na koji se način udžbenici koriste u razredu i koje metode nastavnici prakticiraju prilikom upotrebe udžbenika na nastavi. Rezultati empirijskih studija pokazuju da nastavnici udžbenike većinom koriste za pripremu nastavnog sata, a učenici udžbenike koriste u najvećoj mjeri za vježbanje. Ti rezultati ukazuju na to da tako važna uloga udžbenika u matematičkom obrazovanju zaslužuje dodatnu pažnju s ciljem razumijevanja i poboljanja nastave matematike.Ključne riječi: istraživanje udžbenika; nastava matematike; pregled.

SISTERS IN SCIENCE: CONFRONTING EQUITY IN SCIENCE AND MATHEMATICS EDUCATION

2000 ◽  
Vol 6 (3) ◽  
pp. 14
Author(s):  
Penny L. Hammrich ◽  
Greer M. Richardson ◽  
Beverly D. Livingston
Keyword(s):  
Mathematics Education ◽  
And Mathematics
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