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Master's Thesis (M. Ed.)

Differences in Mathematics Scores Between Students Who Receive Traditional Montessori Instruction and Students Who Receive Music Enriched Montessori Instruction

Available from: Library and Archives Canada

Mathematics education, Montessori method of education - Evaluation

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Abstract/Notes: While a growing body of research reveals the beneficial effects of music on education performance the value of music in educating the young child is not being recognized, particularly in the area of Montessori education. This study was an experimental design using a two-group post-test comparison. A sample of 200 Montessori students aged 3 to 5-years-old were selected and randomly placed in one of two groups. The experimental treatment was an "in-house" music enriched Montessori program and children participated in 3 half-hour sessions weekly, for 6 months. This program was designed from appropriate early childhood educational pedagogies and was sequenced in order to teach concepts of pitch, dynamics, duration, timbre, and form. The instrument used to measure mathematical achievement was the Test of Early Mathematics Ability-3 to determine if the independent variable, music instruction had any effect on students' mathematics test scores, the dependent variable. The results showed that subjects who received music enriched Montessori instruction had significantly higher mathematics scores. When compared by age group, 3 year-old students had higher scores than either the 4 or 5 year-old children.

Language: English

Published: Windsor, Ontario, Canada, 2005

Article

"Those Horrible-Marvelous Mathematics!"

Publication: AMI Elementary Alumni Association Newsletter, vol. 31, no. 3

Pages: 13–14

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Abstract/Notes: Reaction to 1999 refresher course

Language: English

Master's Thesis

Framgångsrik undervisning i matematik åk 1–3: En jämförande studie av tre undervisningsmodeller / Successful teaching of mathematics in years 1-3: a comparative study of three educational models

Available from: DiVA Portal - Karlstad University

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Abstract/Notes: The proposal in this study define successful teaching from Hattie et al. (2017) and Grevholm (2012) research results. This is a comparative study with three teaching models in mathematics, Traditional model, Montessori model and Singapore model. The focus is on mathematics teaching in primary school, in Sweden. The study embrace a minor literature study and an interview study with three teachers, who work according the three models in their teaching. I use a socio-cultural perspective on learning, teaching and knowledge. A directed qualitative content analyze is used to analyze both the literature and the interviews. The results show the pros and cons of the three teaching models, according to the requirements of the proposed ideas of successful teaching. The results of the teachers´ statements clarify and problematize the differences between the three educational models in practice. / Denna studie utgår från en tes om framgångsrik undervisning som baseras på Hatties m.fl. (2017) och Grevholms (2012) forskning. Uppsatsen är en jämförande studie som utgår från tre undervisningsmodeller i matematik, traditionell undervisningsmodell, montessorimodellen och singaporemodellen. Fokus är på matematikundervisning i årskurs 1-3, svensk skola. Studien omfattar dels en mindre litteraturstudie, dels en intervjustudie med tre lärare som arbetar enligt de tre modellerna. Jag utgår från ett sociokulturellt perspektiv på lärande, undervisning och kunskap. Analyserna baseras på en riktad kvalitativ innehållsanalys. Resultatet visar på för och nackdelar med de tre undervisningsmodellerna och hur väl de uppfyller kraven enligt tesen för en framgångsrik undervisning. I resultatet tydliggörs genom lärarnas utsagor problematiken med de olika undervisningsmodellerna.

Language: Swedish

Published: Karlstad, Sweden, 2022

Master's Thesis

Montessori Early Childhood Teachers’ Preparedness to Teach Mathematics

Available from: MINDS@UW River Falls

Mathematics education, Montessori method of education - Study and teaching, Montessori method of education - Teacher training, Teacher training, Teacher training, Teachers

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Abstract/Notes: The purpose of this action research project was to learn about early childhood Montessori teachers’ feelings and beliefs about mathematics and teaching math, and their awareness of current research regarding the importance of mathematics. Early childhood Montessori teachers were surveyed with questions and opportunities to comment. Instructors who teach Montessori mathematics to future teachers were interviewed, including questions about attitudes towards math they have seen in their adult students and opinions about the need for professional development in math. Adult students enrolled in a Montessori early childhood mathematics class were surveyed at the beginning of the course and again at the end of the course. The results showed that survey participants had both positive and negative experiences in mathematics in their own K-12/college education, with teachers/school as the greatest influencers. Many survey participants indicated that these experiences had long-term effects on their feelings towards math. Montessori instructors have seen hesitancy towards math among their adult students. Many of their students, as well as several survey participants, expressed that the Montessori approach to mathematics helped them, as adults, gain a better understanding of mathematical concepts and increased their confidence. While survey participants agreed that their Montessori teacher education program prepared them to effectively teach math, there is room for further study on the awareness of current research regarding the importance of mathematics in early childhood, increased specificity in Montessori math standards, opportunities for providing mathematical experiences for children throughout the classroom and continued professional development and self-reflection on one’s teaching practice.

Language: English

Published: River Falls, Wisconsin, 2022

Doctoral Dissertation (Ed.D.)

The Impact of Multi-Age Instruction on Academic Performance in Mathematics and Reading

Available from: ProQuest - Dissertations and Theses

Academic achievement, Americas, Elementary education, Mathematics education, Nongraded schools, North America, United States of America

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Abstract/Notes: Teachers and administrators are faced with a basic question when planning for a school year: how should the students be grouped when coming to school? Should students of similar age be together or should students be assigned to multi-age classrooms at the elementary school level? If the multi-age method is chosen, how will academic progress be affected by this instructional strategy? And, in the end, will the students in a multi-age setting perform similar to students who are in traditional group setting on standardized tests? The question of multi-age grouping and academic performance was the focus of this study. The purpose of this study was to compare the academic performance in reading and mathematics of third- and fifth-grade students who have completed three years of multi-age instruction with the academic performance of students in third and fifth grade who have been instructed in the similar-aged traditional classroom. The study compared test scores of students in third and fifth grades using the Minnesota Comprehensive Assessment exams. This study determined that there was no significant difference in the scholastic performance between the groups of students who were instructed in the multi-age instructional settings compared to the traditional same age setting. The multi-age setting does allow for positive social settings particularly the opportunity for students to take leadership roles with fellow classmates.

Language: English

Published: Vermillion, South Dakota, 2010

Master's Thesis (Action Research Report)

Montessori Mathematics Curriculum and Lower Elementary Students Understanding of Length Measurement

Available from: St. Catherine University

Action research, Lower elementary, Mathematics education, Montessori method of education

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Abstract/Notes: The intent of this action research project was to determine to what extent the Montessori Mathematics curriculum support lower elementary students’ understanding of length measurement. The research took place in a private Montessori school classroom with first and second-grade students. There were 22 students in the class, 11 first graders, and 11 second-graders. Data was collected through a pre and post-test, field notes, and observations. The students also kept a journal and performed self-assessments. Photographs were taken to record the students’ use of different measurement tools. Children’s literature about length measurement was read and discussed with the students. The data indicated that students in first and second grade have a difficult time understanding length measurement, particularly reading standard measurement tools. While the Montessori mathematics curriculum supports student understanding of length measurement, it is clear that some of the students need to have other opportunities using nonstandard tools. Overall, the Montessori mathematics curriculum supported students understanding of length measurement. The findings suggest that additional materials need to be introduced in the classroom for students to utilize, and many opportunities are available to measure with nonstandard tools to completely understand measurement and length.

Language: English

Published: St. Paul, Minnesota, 2015

Article

[Report on 12th International Montessori Congress on Mathematics, 1960]

Publication: Communications (Association Montessori Internationale, 195?-2008), vol. 1961, no. 1

Pages: 19–20

Conferences, Europe, Germany, International Montessori Congress (12th, Bad Godesberg, Germany, 22-27 August 1960), Mathematics education, Western Europe

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Language: English

ISSN: 0519-0959

Master's Thesis (Action Research Report)

Mathematical Literacy: The Effects of Mathematics Journals on Student Understanding of Fractions in a Montessori Classroom

Available from: St. Catherine University

Action research, Upper elementary

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Abstract/Notes: It is a typical Monday morning. As students enter the classroom wearing brightly colored polo shirts embroidered with the school logo, their smiles are equally bright. This Title I public school in the heart of the city where 96% of the students qualify for free or reduced lunch has recently opened a Montessori option. Walking into the classroom, one 5th grade student eagerly asks, “Who’s on the bread committee this week?” Baking bread is a weekly occurrence in the upper elementary (4th – 6th grade) Montessori classroom. During the first week of school, this same student vehemently threw materials to the floor declaring, “I HATE fractions!” In an effort to positively engage students in mathematics, the weekly bread-making tradition was implemented. Through cooking, students experience the importance of fractions in everyday life. Each week, two students work together, read several recipes, select one, and submit a precise written list of needed ingredients. The next day, with the aid of a bread machine bought for $10 at the local thrift store, the students work together to follow directions, read fractions, measure ingredients, and bake bread. Once baked, students divide the bread into equal portions and serve. After several months of this routine, some recipes will need to be doubled or halved, and on it goes… The bread committee provides a “hook” for some resistant students. It is also a practical application of the role of literacy in mathematics. The choice to focus on mathematical literacy and the effect of journaling on student understanding was influenced by research around mathematical vocabulary as well as the instructional practices of noted educators and researchers. The rigor of upper elementary math as defined in the common core requires students to not only perform calculations with accuracy, but to demonstrate strong reading comprehension through the interpretation of real-world word problems, and to articulate an understanding of MATHEMATICAL LITERACY 3 mathematical reasoning through clear and concise writing. Achieving grade level proficiency has practical life implications for students because research showed mathematical knowledge during elementary school as a strong predictor of financial stability in adulthood, and understanding fractions in fifth grade as a predictor of overall achievement in mathematics (Siegler & Lortie-Forgues, 2015).

Language: English

Published: St. Paul, Minnesota, 2019

Article

Algebra in the Primary Classroom: Sensorial Basis for Elementary Mathematics

Publication: AMI Elementary Alumni Association Newsletter, vol. 37, no. 3

Pages: 5–7, 10

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Language: English

Article

Mathematics: Encouraging the Process

Publication: AMI Elementary Alumni Association Newsletter, vol. 40, no. 1

Pages: 9

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Language: English

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