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Scientific Notation is like a Foreign Language to Many Students
( Patton Barba ) 한국수학교육학회 2012 수학교육 학술지 Vol.2012 No.1
A multi-case study investigating teaching scientific notation to seventh grade students. There were four students in the multi-case study. They were all in different math and science classes at their respective school, however, they all attended schools within a single district in the southern part of the United States. The students were given a hands-on activity utilizing practice golf balls, dried beans, pair of tweezers (forceps) and grains of salt prior to being given instruction on converting number to scientific notation. All mastered converting to scientific notation during the study and were still fluent with the concept five years later.
Using "Guess My Number" Problems to Analyze Algebraic Thinking
( Patton Barba ),( De Los Santos Estella ) 한국수학교육학회 2011 수학교육 학술지 Vol.2011 No.2
Four “Guess My Number” problems were used to assess seventh and tenth students` knowledge of numeric, visual and algebraic representations. Seventh-grade students scored significantly higher on visual. There were no significant differences on numeric and algebraic. Researchers believe semi-concrete and visual models may provide link between numeric and algebraic concepts.
Using Motivational Techniques, Students can Learn Mathematics is Useful
( Patton Barba ) 한국수학교육학회 2011 수학교육 학술지 Vol.2011 No.2
Mathematics is often thought of a necessary evil. Being a successful teacher can be very difficult as students arrive unwilling to try many concepts. Using motivational techniques, students can learn math is useful and sometimes even fun. Motivation helps to remove fear/anxiety thus helping most students to be successful.
Just Maybe the Problem Lies in Reading the Pictorial Model
( Patton Barba ) 한국수학교육학회 2011 수학교육연구 Vol.15 No.1
Sixty-four EC-6 teacher candidates were asked to elaborate on the method they used when interrupting seven mathematical pictorial models. The instrument used was research designed but modeled after a 4th grade released state tests. This study was conducted in the southern part of the United States. A panel of experts worked with the researcher to determine the most appropriate initial approach to interrupting the mathematical pictorial model. The pictorial models examined such concepts as measurement, place value and time. Since the questions were on a 4th grade level, it was expected that the teacher candidates would score 100%, however, this was not the case. The results will be given in the paper as each question is discussed. The results of the survey are being used to develop teaching modules for teacher candidates in mathematics methodology classes.
Proving are you Smarter than a Fifth Grader : Measurement 101
( Patton Barba ) 한국수학교육학회 2012 수학교육 학술지 Vol.2012 No.1
Teaching online classes are always a challenge to keep the students` interest as well as be sure all concepts are received in a successful way. As a spinoff of the TV show, ‘are you smarter than a fifth grader` a survey of 12 questions was given to 57 teacher candidates. The questions were modeled after released 5th grade measurement questions found on the internet. Rationale of requirement for each question along with analysis of the results is share in the article. Teacher candidates were successful although not 100% as hoped.
Mastering Fractions : Using Real-life Models
( Patton Barba ) 한국수학교육학회 2011 수학교육 학술지 Vol.2011 No.1
Fourth grade students have been introduced in their earlier classes to fractions however, fractions create many problems. One of the biggest obstacles is the students do not at this age (Piaget) have the ability to think abstractly about what a fraction (i.e. ½) actually represents. Many of the textbooks and classroom teachers revert to the method by which they were taught. It is the memorization without understanding. The study taught the students with real-life models. Teachers reported that the students developed a better foundation using these models and were able to exhibit conceptual learning of fractions several months later.
A Look at Teacher Candidates` Measurement and Geometry Abilities
( Patton Barba ),( Le Sage-clements Teresa ) 한국수학교육학회 2011 수학교육 학술지 Vol.2011 No.2
Teacher Candidates enrolled in a math or science methodology classes completed a brief survey determining their ability in measurement and geometry. Questions were modeled after the released fifth grade questions on the state achievement exam. Data revealed these teacher candidates need additional training prior to entering the classroom as teacher-of-record.