Higher order thinking skills (HOTS) is one of important aspects in education. Students with high level of higher order thinking skills tend to be more successful. However, do this phenomenon also happen in the learning of Mathematics? To answer this question, this research aims to study the relationship between HOTS and students' academic performance in Mathematics instruction. The research is conducted by occupying correlation research method on 41 students of mathematics education in university of Papua who had already completed 120 credits. The instrument in a test format for HOTS measurement has two main indicators; the critical thinking skill and creative thinking skill. Students are selected as research subjects, and are asked to do 9 questions of HOTS test in 60 minutes. The holistic rubric is used to assess the higher order thinking skills of students. The results of research show that these two variables have a high value of correlation (r = 0.814) and the regression equation is grade point average = 2,105 + 0,017 HOTS. Both of statistics show that there is a significant relationship between HOTS and students' academic achievement.

The purpose of this research was to measure the reasoning skills of mathematics students using a test instrument developed from mathematics routine and non-routine task. The study used research and development method. Development of the instrument and measurement of mathematical reasoning skills using procedure: items preparation (modification task), expert validation, field testing, and data analysis. The field testing involves students of senior high school (SMA Negeri 1) and students of University of Papua, Manokwari West Papua Indonesia. The data analyzed through studying the students’ task solving, the transcripts of their work, interview after the test, identifying the specific task solving situations, and the arguments were supporting the strategy choice and strategy implementation. Result of research shows that student mathematical reasoning can be measured using the instrument test developed from the routine task and non-routine task. This research classifies the reasoning skills of mathematics students into two categories, imitative reasoning, and creative reasoning. Reasoning skills of mathematics students grouping results can be used by various interested institutions to evaluate the test using in mathematics instruction.

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The purpose of this research to analyze exercise question on Mathematics textbook of senior high school which associated with higher order thinking skills (HOTS). HOTS according to Taxonomy Bloom can be classified into aspect: analysis (C4), evaluate (C5), and Create (C4).  This is a qualitative study using the method of evaluation in education field. The object of this research is exercise questions on mathematics textbook of senior high school used in SMA YPK Oikumene, Manokwari, West Papua. The instrument used to categorize the exercise question is operational verbs (KKO).  Data were analyzed using descriptive data analysis. Furthermore, the result shows that 3.90% question can be categorized as analysis domain, 0.65% questions reach evaluate domain, and there is no question can be group as create domain.

<p>The purpose of this research was to study the profile of students' mathematical inductive reasoning abilities regarding visual, auditory and kinesthetic learning styles in solving mathematical problems. The research method used is qualitative with a descriptive approach. The results of the study showed that UNIPA mathematics education students tended to study with Visual Learning Styles. Students with this learning style tend to have inductive mathematical reasoning abilities that are better than inductive mathematical reasoning abilities of students learning with auditorial learning styles and those who learn with the kinesthetic learning style. Also, Mathematics Education students of the University of Papua do not have the ability to examine the validity of an argument and find patterns or characteristics of mathematical symptoms to generalize.</p>