<![CDATA[This study is qualitative research that aimed to get the analysis result of the mathematical connection ability of undergraduates with low, moderate, and high initial ability at vector spaces topic. The research subjects are three undergraduate students in the fourth semester in the mathematics department, one for each initial ability category. The research data was obtained by mathematical connection ability tests and in-depth interviews. These data were analyzed based on two mathematical connection ability indicator, that is (1) connect mathematical ideas, in forms of fact, concept, principle, and skill at the same topic, and (2) connect mathematical ideas, in forms of fact, concept, principle, and skill at two different topics. The first indicator is described by how subjects connect algebraic and geometric representations of a spanning set of vector space. Meanwhile, the second indicator is described by how subjects connect a fact about trace with set membership concept. The results of the study reveal that the subject with low and moderate initial ability did not know some mathematics basic knowledge, such as vector addition in cartesian coordinates and trace of matrix. That is why the subject cannot connect mathematical ideas. Subject with high initial ability understands algebraic representation of a mathematical concept, but not that good at understanding geometric representation. The subject has good knowledge about mathematical terms, such as the trace of a matrix, and can use it to explain a mathematical concept.Keywords: Initial Ability, Mathematical Connection, Connection Problem, Mathematics Learning Object, Vector Space.]]>
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