In bees, the female queen bee is diploid but male bees are haploid. the fertilized eggs develop into female bees and the unfertilized eggs develop into males. how might gamete production in male bees differ from normal meiosis

It differs in the sense that male bees do not undergo a reduction cell division, they undergo mitotic division to produce gametes instead.

Explanation:

First of all, this phenomenon in bees is called HAPLODIPLOIDY i.e. a system where one sex is haploid and the other diploid. As stated in the question, the fertilized egg (by sperm) becomes the female bee (haploid sperm + haploid egg= diploid bee) while the unfertilized egg (haploid bee) becomes the male bee.

In as much as fertilization occurs, it means that gametes are produced via meiosis. Meiosis, normally, is the kind of cell division that results in daughter cells (gametes) with a reduced number of chromosome (by half). But in this system (haploidiploidy), only the female bee undergoes meiosis to produce the egg cell, the male does not in its production of sperm cells.

Since the male bee is haploid, it can no longer undergo a reduction division (normal meiosis). Instead, it undergoes mitosis, which is a division that produces identical cells with same chromosome number, to produce haploid sperm cells, which then fuses with some of the haploid egg cells to give rise to the diploid female bee. The haploid egg that does not get fertilized eventually develops into the haploid male.

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prophase: we can observe the chromosomes to coil up and condense. they become visible. nuclear membrane and envelope disintigrate.s

metaphase: chromosomes align at the center, the metaphase plate. spindle fibers attach to centromeres of the sister chromatids. they meet at kinetochores.

anaphase: sister chromatids are pulled towards each opposing centromere, set on different poles.

telophase: chromosomes are now clustered up only on either sides of the cell. nuclear membranes reform, and a new cell wall forms along the cell plate. this will lead to cytokinesis, the process that divides the cell membrane and forms the cell wall.