This research initiated by some research result regarding the lower Reasoning and Mathematics Representation of student on the math learning. In order to upgrade the abilities is passing through the guided inquiry learning. The aim of the reasearch is to analyze comprehensively on accomplishment reasoning and math representation of student who gain the guided inquiry learning and conventional learning. The research is applying experiment method by design of one group pretest-posttest. The result of research indicates the guided inquiry learning is more effective in accomplishment and improvement of student representation capabilities and student comprehend compared with the conventional learning. Reasoning and Mathematics Representation of group student or guided inquiry learning is higher from the group student of conventional learning. The improvement of Mathematics Reasoning of Group Student of guided inquiry learning values 0.33 on the medium category, while the improvement of Mathematics Representation of group student of conventional learning values 0.19 on the low category. The amount of improvement on Mathematics Representation of group student of the guided inquiry learning is 0.41 on the medium category, and the improvement on Mathematics Representation of group student of conventional learning is 0.26 is on the low category.

This research was aimed to implement Realistic Mathematics Education learning model with outdoor approach in elementary school at Bengkulu. The method used in this research was quasi-experiment. The research design used was pre-test post-test group design. Sample of the research were 94 students taken from 5th grade elementary students in Bengkulu. The instrument used about presenting and processing data was 4 items. Data was analysed qualitatively and quantitatively. The result from the research shows that Realistic Mathematics Education learning model with outdoor approach in elementary school students may improve student’s understanding ability about mathematics concept for high level school by 0.45; for medium level school by 0.41; and for low level school by 0.27. Meanwhile, the achievement of students’ mathematics concept understanding in elementary school for high level school is 77.31; for medium level school is 73.92; and for low level school is 57.86. The implication of research result is that the use of Realistic Mathematics Education learning model with outdoor approach is needed to improve the mathematics concept understanding of elementary school students.

This study aims to improve the ability to understand monoid concepts through Problem Posing learning. The method used is a quasi-experiment. The research design used was pre-test post-test group design. The research sample was 32 undergraduate students of the Mathematics Education Study Program FKIP Universitas Bengkulu at the Algebra Abstract course of even semester of 2018-2019 academic year. The instrument used was a 4 item test about the concept of monoid. Data were analysed qualitatively and quantitatively. The results of the study are as follows: 1) an increase in the ability to understand the monoid concept of students by 0.67, including the medium category; 2) the achievement of the ability to understand the monoid concept is 74.75 in the high category. The results of this study have implications for the importance of the role of questions in learning mathematics.