By Way of Introduction: Learning Environments That Support Mathematical Understanding

2008 ◽  
Vol 15 (3) ◽  
pp. 132-133

The first chapter of Principles and Standards for School Mathematics (NCTM 2000) presents a vision of the ideal learning environment for all mathematics learners—one that supports student acquisition of knowledge, incorporates learning tools that promote student comprehension, engages students in mathematical tasks that provide opportunities to make sense of mathematics concepts and procedures, and incorporates all the NCTM Process Standards.

2002 ◽  
Vol 7 (9) ◽  
pp. 484-488
Author(s):  
Christine Thomas ◽  
Carmelita Santiago

Connections in mathematics can be implemented in ways that create excitement in the classroom, develop in students a love for doing mathematics, and foster students' natural inclination for pursuing mathematical tasks. According to the Curriculum and Evaluation Standards for School Mathematics, “If students are to become mathematically powerful, they must be flexible enough to approach situations in a variety of ways and recognize the relationships among different points of view” (NCTM 1989, p. 84). Principles and Standards for School Mathematics (NCTM 2000) further asserts that students develop a deeper and more lasting understanding of mathematics when they are able to connect mathematical ideas. The 1989 and 2000 Standards clearly delineate the power and importance of connections in the mathematics curriculum. This article examines and compares curricular recommendations for connections in the two documents.


2008 ◽  
Vol 13 (6) ◽  
pp. 326-332
Author(s):  
Angela T. Barlow ◽  
Jill Mizzell Drake

As performance-based curricula and teacher accountability gain greater emphasis, teachers need avenues to ensure that their students are learning the mathematics content being delivered. According to the NCTM's Assessment Standards for School Mathematics (1995), assessment practices should enable teachers to assess students' performance in a manner that reflects what students know and can do. Unfortunately, the typical classroom assessments, such as chapter tests, homework assignments, and the like, rarely accurately reflect the depth of mathematical understanding expected to meet performancebased standards like those found in NCTM's Principles and Standards for School Mathematics (2000).


2006 ◽  
Vol 100 (1) ◽  
pp. 64-68
Author(s):  
David E. Meel ◽  
Deborah Gyurko ◽  
Michelle Gaspar

How many students would agree with the statement “My math teacher fails in the area of creativity” when asked if their teachers try to enliven their classroom? So, where is the fun in our teaching of mathematics? In Principles and Standards for School Mathematics, the National Council of Teachers of Mathematics clearly recognizes the need for lively classrooms by stating, “Teaching mathematics well involves creating, enriching, maintaining, and adapting instruction to move toward mathematical goals, capture and sustain interest, and engage students in building mathematical understanding” (NCTM 2000, p. 18). We suggest incorporating storytelling as a means of introducing students to new concepts and working through the solution of several problems before the students even know they are investigating them.


2002 ◽  
Vol 8 (2) ◽  
pp. 86-90
Author(s):  
Hari P. Koirala ◽  
Phillip M. Goodwin

Middle school educators have widely accepted the importance of interdisciplinary curricula (Cook and Martinello 1994), and Principles and Standards for School Mathematics argues that mathematics should be linked with other subject areas at all levels (NCTM 2000). According to Principles and Standards, “thinking mathematically involves looking for connections, and making connections builds mathematical understanding” (p. 274). Therefore, connecting mathematics to other disciplines has become particularly important.


Author(s):  
Nancy Nelson ◽  
Robert Brennan

The overarching principles of effective educational practice in higher education define the characteristics of an effective learning environment. Institutions of all sizes have demonstrated that it is possible to increase student success and add value to the learners' experiences by applying these principles. This qualitative study explores the alignment between the ideal learning environment, the actual undergraduate engineering experience as defined by engineering educators, and the learners' perspective. Building on the benchmarks of effective learning environments, students were asked to complete an online survey based on the Stop, Start, Continue method for acquiring formative feedback. Thematic analysis identified five themes: focus on learning, supported instruction, quality of teaching, student engagement, and other related items including academic rigour and strong relationships between students, instructors, and staff. Students indicate that their primary learning environment is teacher-directed and lecture-based. This is aligned with the current practices identified by engineering educators, but only partially in line with those of an effective learning environment. Coded items indicate that many students have sub-optimal motivational outlooks, but feel their ability to survive and thrive is improved when they are more involved in their learning and are supported in a more student-centred learning environment. They value instructors who provide clear and accurate resources, and who are supportive through actions both in and out of the classroom. Engineering educators can use these insights to better align their teaching practices with the principles and practices of effective learning.  


2021 ◽  
Vol 114 (9) ◽  
pp. 706-710
Author(s):  
Linda L. Cooper

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.


2020 ◽  
Vol 2 (4) ◽  

Measuring school culture and analyzing student learning experiences is a rapidly growing practice, with a notable uptick following the increased forcus on learning experiences spurred by international comparisons of educational environments and resulting student outcomes. The literature documents common constructs that are often included in school culture surveys. However, often all learning environments are organized together and offered the same school culture survey. This is problematic because a common school culture survey construct is “learning environment” and the items that form this construct will be significantly different based on the instructional model. Therefore, providing educators with a one size fits all culture survey does not meet the needs of schools offering problem-based learning (PrBL) and project-based learning (PBL) environments. This research examines the process for revising, designing, and validating a school culture survey aligned to PrBL and PBL environments.


Author(s):  
Adinda Kharisma Apriliani ◽  
Eti Poncorini Pamungkasari ◽  
Amandha Boy Timor Randita

Background: Needs of health workers, especially general practitioners, relatively high in Indonesia. Career choices among medical students are various, such as general practitioner, specialist, medical researcher, etc. Many factors affect medical students’ career choices, one of them is learning environments. This study aims to prove the correlation between clerkship students’ perceptions of clinical learning environments and their career choices.Methods: This research was an analytical observational research with cross sectional approach. The subjects were clerkship students who underwent clinical rotation. The samples were 178 clerkship students from all departments. They were chosen by probability proportional to size sampling. Every respondent was given career choices questionnaire and PHEEM questionnaire which has analyzed for its validity and reliability with α≥0,6 (α=0,826) and r≥0,30 (r=0,442). The result of this study was analyzed by Chi-square test and followed by Contingency Coefficient with 95% confidence level (α = 0,05). Result: The result showed that students’ perception of clinical learning environment “good but still need improvement” category was nearly the same as “plenty of problems” category. The result on the students’ career choices, most students choose clinical career. There was significant correlation between perception of clinical learning environment and career choices on clerkship students of medical faculty, Sebelas Maret University with p <0,05 (p= 0,018), x2 count (x2=5,625) > x2 table (x2=3,841) and also very weak correlation (C= 0,189).Conclusion: There was very weak correlation between perception of clinical learning environments and career choice on clerkship students. 


2013 ◽  
Vol 3 (3) ◽  
pp. 11-26 ◽  
Author(s):  
Emine Cabı ◽  
Yasemin Gülbahar

This study is conducted to develop a scale for assessing the effectiveness of blended learning environments based on the features of both face-to-face and online learning environments and provide suggestions for stakeholders. In the process of scale development, data gathered from 314 students were analyzed. The reliability and validity results for collected data were found to be acceptable since they were between or above the expected value. Based on the analysis it is found that the scale is composed of 55 items having a structure of 4 factors. Hence, it can be concluded that "Effectiveness of Blended Learning Environments Scale" is found as reliable and valid, and can measure what it aims to measure. Blended Learning Environment Scale, which was developed and analyzed for reliability and validity throughout this study, is expected to facilitate the further research studies that focused on blended learning environments.


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